Geometric Analysis and Geometric Topology

[1] A New Quantitative Approach to Tree Attributes Estimation Based on LiDAR Point Clouds

Guangpeng Fan Liangliang Nan Feixiang Chen Yanqi Dong Zhiming Wang Hao Li Danyu Chen

Geometric Analysis and Geometric Topology Geometric Modeling and Processing Data Analysis, Bio-Statistics, Bio-Mathematics mathscidoc:2106.15004

Remote Sensing, 12, (11), 1779, 2020.6
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[2] Feature-preserving 3D Mesh Simplification for Urban Buildings

Minglei Li Liangliang Nan

Geometric Analysis and Geometric Topology Geometric Modeling and Processing mathscidoc:2106.15007

ISPRS Journal of Photogrammetry and Remote Sensing, 173, 2021.1
[ Download ] [ 2021-06-21 15:36:23 uploaded by liangliangnan ] [ 3796 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] AdQSM: A New Method for Estimating Above-Ground Biomass from TLS Point Clouds

Guangpeng Fan Liangliang Nan Yanqi Dong Xiaohui Su Feixiang Chen

Geometric Analysis and Geometric Topology Geometric Modeling and Processing Data Analysis, Bio-Statistics, Bio-Mathematics Data Analysis mathscidoc:2106.15006

Remote Sensing, 12, 3089, 2020.9
[ Download ] [ 2021-06-21 15:33:55 uploaded by liangliangnan ] [ 3566 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] Existence and classification of overtwisted contact structures in all dimensions

Matthew Strom Borman Department of Mathematics, Stanford University Yakov Eliashberg Department of Mathematics, Stanford University Emmy Murphy Department of Mathematics, Massachusetts Institute of Technology

Geometric Analysis and Geometric Topology mathscidoc:1701.15002

Acta Mathematica, 215, (2), 281-361, 2014.10
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[5] Structure-aware Building Mesh Polygonization

Vasileios Bouzas Hugo Ledoux Liangliang Nan

Geometric Analysis and Geometric Topology Geometric Modeling and Processing mathscidoc:2106.15005

ISPRS Journal of Photogrammetry and Remote Sensing, 2020.7
[ Download ] [ 2021-06-21 15:26:00 uploaded by liangliangnan ] [ 1976 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] Lagrangian sections on mirrors of toric Calabi-Yau 3-folds

Kwokwai Chan The Chinese University of Hong Kong Daniel Pomerleano Imperial College London Kazushi Ueda The University of Tokyo

Geometric Analysis and Geometric Topology mathscidoc:1606.15003

[ Download ] [ 2016-06-29 17:58:28 uploaded by kwchan ] [ 1915 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] The Hartogs extension theorem for holomorphic vector bundles and sprays

Rafael B. Andrist Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal Nikolay Shcherbina Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal Erlend F. Wold Matematisk Institutt, Universitet i Oslo

Functional Analysis Geometric Analysis and Geometric Topology mathscidoc:1701.01010

Arkiv for Matematik, 1-21, 2014.12
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[8] Calabi-Yau manifolds with isolated conical singularities

Hans-Joachim Hein Fordham University Song Sun Stony Brook University

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Symplectic Geometry mathscidoc:1806.01002

Distinguished Paper Award in 2018

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
[ Download ] [ 2018-06-27 17:39:48 uploaded by hhein ] [ 1693 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[9] PLADE: A Plane-based Descriptor for Point Cloud Registration with Small Overlap

Songlin Chen Liangliang Nan Renbo Xia Jibin Zhao Peter Wonka

Geometric Analysis and Geometric Topology Geometric Modeling and Processing mathscidoc:2106.15003

IEEE Transactions on Geoscience and Remote Sensing, 58, (4), 2530-2540, 2020.4
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[10] Quasi-local mass at the null infinity of the Vaidya spacetime

Mu-Tao Wang Columbia University Po-Ning Chen University of California, Riverside Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology Mathematical Physics Publications of CMSA of Harvard Theoretical Physics mathscidoc:1804.15001

Harv. Univ. Cent. Math. Sci. Appl. Ser. Math., 1, 33-48
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[11] Mean value inequality and generalized capacity on doubling spaces

Alexander Grigor'yan University of Bielefeld, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2210.15001

2022.9
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[12] Möbius homogeneous hypersurfaces with two distinct principal curvatures in$S$^{$n$+1}

Tongzhu Li Department of Mathematics, Beijing Institute of Technology Xiang Ma LMAM, School of Mathematical Sciences, Peking University Changping Wang LMAM, School of Mathematical Sciences, Peking University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.10010

Arkiv for Matematik, 51, (2), 315-328, 2011.4
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[13] Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for $\mathbb{P}^1_{a,b,c}$

Cheol-Hyun Cho Seoul National University Hansol Hong The Chinese University of Hong Kong Siu-Cheong Lau Boston University

Geometric Analysis and Geometric Topology mathscidoc:1605.15001

Distinguished Paper Award in 2017

Journal of Differential Geometry
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[14] Off-diagonal lower estimates and Hölder regularity of the heat kernel

Alexander Grigor'yan University of Bielefeld, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2212.15002

2022.12
[ Download ] [ 2022-12-31 06:41:22 uploaded by jiaxinhu ] [ 1398 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] A geometric interpretation of the Schützenberger group of a minimal subshift

Jorge Almeida CMUP, Departamento de Matemática, Faculdade de Ciências, Universidade do Porto Alfredo Costa CMUC, Department of Mathematics, University of Coimbra

Geometric Analysis and Geometric Topology Group Theory and Lie Theory mathscidoc:1701.01011

Arkiv for Matematik, 1-33, 2015.7
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[16] Free boundary minimal surfaces in the unit ball : recent advances and open questions

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10006

arXiv preprint arXiv:1907.05053, 2019.7
[ Download ] [ 2020-01-03 16:46:44 uploaded by Martin_Man_chun_Li ] [ 1339 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces

Alexander Grigor'yan University of Bielefeld, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2212.15001

2022.12
[ Download ] [ 2022-12-06 09:02:03 uploaded by jiaxinhu ] [ 1261 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] A Minkowski type inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold

Simon Brendle Stanford University Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10034

Best Paper Award in 2018

Communications on Pure and Applied Mathematics , 69, (1), 124-144, 2016.1
[ Download ] [ 2016-08-20 17:58:24 uploaded by mutaowang ] [ 1250 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] Minkowski formulae and Alexandrov theorems in spacetime

Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University Xiangwen Zhang University of California, Irvine

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10014

2014.9
[ Download ] [ 2016-08-20 13:31:07 uploaded by mutaowang ] [ 1206 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Local Calabi-Yau manifolds of type \tilde{A} and open Yau-Zaslow formula via SYZ mirror symmetry

Atsushi Kanazawa Harvard University Siu-Cheong Lau Boston University

Geometric Analysis and Geometric Topology mathscidoc:1605.15003

Journal of Geometry and Physics
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[21] The rest mass of an asymptotically Anti-de Sitter spacetime

Po-Ning Chen Columbia University Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10033

2015.9
[ Download ] [ 2016-08-20 17:38:25 uploaded by mutaowang ] [ 1105 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] Approximations and examples of singular Hermitian metrics on vector bundles

Genki Hosono The University of Tokyo

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43012

Arkiv for Matematik, 55, 2017
[ Download ] [ 2018-03-01 16:57:47 uploaded by arkivadmin ] [ 1105 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] Cubic forms, anomaly cancellation and modularity

Fei Han National University of Singapore Ruizhi Huang Chinese Academy of Sciences Kefeng Liu University of California at Los Angeles, Weiping Zhang Nankai University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Algebraic Topology and General Topology mathscidoc:2110.10001

46, 2021.10
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[24] Lipschitz equivalence of self-similar sets and hyperbolic boundaries

Jun Luo Shantou University Ka-Sing Lau The Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1702.15001

Advances in Mathematics, 235, 2013
[ Download ] [ 2017-02-17 22:21:11 uploaded by Jason_Luo ] [ 1062 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] Stable moduli spaces of high-dimensional manifolds

Søren Galatius Department of Mathematics, Stanford University Oscar Randal-Williams Department of Pure Mathematics and Mathematical Statistics, University of Cambridge

Geometric Analysis and Geometric Topology mathscidoc:1701.15001

Acta Mathematica, 212, (2), 257-377, 2012.9
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[26] Inverse mean curvature flows in the hyperbolic 3-space revisited

Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10016

Calculus of Variations and Partial Differential Equations, 54, (1), 119–126, 2015.9
[ Download ] [ 2016-08-20 14:50:29 uploaded by mutaowang ] [ 1043 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[27] Exact Lagrangian caps and non-uniruled Lagrangian submanifolds

Georgios Dimitroglou Rizell Département de Mathématiques, Université Paris-Sud

Geometric Analysis and Geometric Topology Symplectic Geometry mathscidoc:1701.15006

Arkiv for Matematik, 53, (1), 37-64, 2013.6
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[28] Stochastic completeness for graphs with curvature dimension conditions

Bobo Hua Fudan University Yong Lin Renmin University of China

Combinatorics Geometric Analysis and Geometric Topology mathscidoc:1804.06005

Advances in Mathematics, 306, 279-302, 2017.1
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[29] The tempered spectrum of a real spherical space

Friedrich Knop Emmy-Noether Zentrum Bernhard Krotz Universitat Paderborn Henrik Schlichtkrull University of Copenhagen

Arithmetic Geometry and Commutative Algebra Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43006

Acta Mathematica, 218, (2), 2017
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[30] Rigidity of polyhedral surfaces I

Feng Luo Rutgers University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1705.10005

Distinguished Paper Award in 2017

J. Differential Geometry, 96, (2), 241-302, 2014
[ Download ] [ 2017-05-31 09:11:15 uploaded by yauawardadmin ] [ 1001 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[31] Four-ball genus bounds and a refinement of the Ozsvath-Szabo tau-invariant

Jen Hom Georgia Tech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15003

J. Symp. Geom., 14, 305-323, 2016
[ Download ] [ 2017-09-27 15:55:28 uploaded by zbarwu ] [ 980 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[32] Harnack inequalities for graphs with non-negative Ricci curvature

Fan Chung University of California, SanDiego Yong Lin Renmin University o China S.-T. Yau Harvard University

Combinatorics Geometric Analysis and Geometric Topology mathscidoc:1804.06002

Journal of Mathematical Analysis and Applications, 415, 25-32, 2014.1
[ Download ] [ 2018-04-03 14:15:31 uploaded by linyong01 ] [ 976 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[33] Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces

Jiaxin Hu Department of Mathematical Sciences, Tsinghua University, Beijing, China Guanhua Liu Department of Mathematical Sciences, Tsinghua University, Beijing, China

Geometric Analysis and Geometric Topology mathscidoc:2111.15001

2021.4
[ Download ] [ 2021-11-25 11:01:31 uploaded by jiaxinhu ] [ 975 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[34] Mean Field Equations, Hyperelliptic curves and modular forms II

Chang-Shou Lin National Taiwan University Chin-Lung Wang National Taiwan University

Analysis of PDEs Geometric Analysis and Geometric Topology mathscidoc:1705.03001

Silver Award Paper in 2017

The Journal de Ecole polytechnique , 2017.3
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[35] Heegaard Floer correction terms and rational genus bounds

Yi Ni Caltech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15002

Adv. Math., 267, 360-380, 2014
[ Download ] [ 2017-09-27 15:50:23 uploaded by zbarwu ] [ 938 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[36] Computing fundamental group of general 3-manifold

Junho Kim Miao Jin Qian-Yi Zhou Feng Luo Xianfeng Gu

Geometric Analysis and Geometric Topology mathscidoc:1912.43814

965-974, 2008.12
[ Download ] [ 2019-12-24 20:59:45 uploaded by Feng_Luo ] [ 930 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[37] A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime

Simon Brendle Stanford University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10023

Communications in Mathematical Physics, 330, (1), 33–43, 2014.8
[ Download ] [ 2016-08-20 15:43:07 uploaded by mutaowang ] [ 920 downloads ] [ 0 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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[38] McShane identities for Higher Teichmüller theory and the Goncharov-Shen potential

Yi Huang Yau Mathematical Sciences Center Zhe Sun University of Science and Technology of China

Geometric Analysis and Geometric Topology Representation Theory mathscidoc:1905.15001

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 286, (1422), 2023.5
[ Download ] [ 2019-05-15 17:04:25 uploaded by frease ] [ 920 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[39] Rigidity of time-flat surfaces in the Minkowski spacetime

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10022

2013.10
[ Download ] [ 2016-08-20 15:37:02 uploaded by mutaowang ] [ 906 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[40] Automorphisms of the complex of curves

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43776

arXiv preprint math/9904020, 2000.4
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[41] A volume preserving flow and the isoperimetric problem in warped product spaces

Pengfei Guan McGill University Junfang Li University of Alabama Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Metric Geometry mathscidoc:1804.03009

[ Download ] [ 2018-04-30 14:24:26 uploaded by mutaowang ] [ 870 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[42] Compression bounds for Lipschitz maps from the Heisenberg group to$L$_{1}

Jeff Cheeger Courant Institute, New York University Bruce Kleiner Courant Institute, New York University Assaf Naor Courant Institute, New York University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.03006

Acta Mathematica, 207, (2), 291-373, 2009.11
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[43] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1804.03011

[ Download ] [ 2018-04-30 14:38:09 uploaded by mutaowang ] [ 867 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[44] Curvature aspects of graphs

F. BAUER Max Planck Institute for Mathematics in the Sciences F. CHUNG University of California, San Diego Yong Lin Renmin University of China Yuan Liu Institute of Computational Mathematics and Scientific/Engineering Computing. Chinese Academy of Sciences

Combinatorics Geometric Analysis and Geometric Topology mathscidoc:1804.06006

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145, 2033-2042, 2017.1
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[45] Tits geometry and positive curvature

Fuquan Fang Capital Normal University Karsten Grove University of Notre Dame Gudlaugur Thorbergsson Universitat zu Koln

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43001

Best Paper Award in 2018

Acta Mathematica, 218, (1), 2017
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[46] Contact (+1) surgeries along Legendrian two-component links

Fan Ding Peking University Youlin Li Shanghai Jiao Tong University Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:2307.15002

Quantum Topol., 11, 295-321, 2020.6
[ Download ] [ 2023-07-30 15:25:08 uploaded by zbarwu ] [ 845 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[47] Curvature Decay Estimates of Graphical Mean Curvature Flow in Higher Codimensions

Knut Smoczyk Leibniz Universität Hannover Mao-Pei Tsui University of Toledo Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10018

Transactions of the American Mathematical Society, 2016.1
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[48] Localized deformation for initial data sets with the dominant energy condition

Justin Corvino Lafayette College Lan-Hsuan Huang University of Connecticut

Geometric Analysis and Geometric Topology mathscidoc:1606.15001

[ Download ] [ 2016-06-28 09:30:11 uploaded by lanhsuan_huang ] [ 830 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[49] An Alexander polynomial for MOY graphs

Yuanyuan Bao University of Tokyo Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:2307.15001

Selecta Math. (N.S.), 26, 2020.4
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[50] Intersection of almost complex submanifolds

Weiyi Zhang University of Warwick

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2005.08001

Distinguished Paper Award in 2020

Cambridge Journal of Mathematics, 6, (4), 451-496, 2018
[ Download ] [ 2020-05-30 21:04:01 uploaded by wyzhang ] [ 824 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[51] AdTree: Accurate, Detailed, and Automatic Modelling of Laser-Scanned Trees

Shenglan Du TU Delft Roderik Lindenbergh Hugo Ledoux Jantien Stoter Liangliang Nan

Geometric Analysis and Geometric Topology Geometric Modeling and Processing Data Analysis, Bio-Statistics, Bio-Mathematics mathscidoc:2106.15002

2019.9
[ Download ] [ 2021-06-21 15:17:39 uploaded by liangliangnan ] [ 822 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[52] Volume conjectures for the reshetikhin-turaev and the turaev-viro invariants

Qingtao Chen ETH Zurich Tian Yang Texas A&M University

Geometric Analysis and Geometric Topology mathscidoc:1910.15001

Best Paper Award in 2019

Quantum Topology, 9, 419–460, 2018
[ Download ] [ 2019-10-07 11:33:13 uploaded by chenqtao ] [ 817 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[53] Proper holomorphic embeddings of finitely connected planar domains into ℂ^{$n$}

Irena Majcen Mathematisches Institut, Alpeneggstrasse 22, Bern, Switzerland

Differential Geometry Geometric Analysis and Geometric Topology Statistics Theory and Methods mathscidoc:1701.10012

Arkiv for Matematik, 51, (2), 329-343, 2012.1
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[54] A strong stability condition on minimal submanifolds and its implications

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1804.03010

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[55] The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3

Matt Bainbridge Department of Mathematics, Indiana University Martin Möller Institut für Mathematik, Goethe-Universität Frankfurt

Complex Variables and Complex Analysis Geometric Analysis and Geometric Topology mathscidoc:1701.08002

Acta Mathematica, 208, (1), 1-92, 2009.12
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[56] Geodesics in the space of K\"ahler cone metrics, I

Kai Zheng Tongji University Simone Calamai Università di Firenze

Geometric Analysis and Geometric Topology mathscidoc:1907.15001

Distinguished Paper Award in 2019

American Journal of Mathematics, 137, (5), 1149-1208, 2015.10
[ Download ] [ 2019-07-08 15:45:40 uploaded by kaizheng ] [ 781 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[57] Hyperbolic mean curvature flow: evolution of plane curves

Kong Dexing Kefeng Liu Wang Zenggui

Geometric Analysis and Geometric Topology mathscidoc:1912.43059

Acta Mathematica Scientia, 29, (3), 493-514, 2009.5
[ Download ] [ 2019-12-21 11:13:15 uploaded by Kefeng_Liu ] [ 781 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[58] CR singular images of generic submanifolds under holomorphic maps

Jiří Lebl Department of Mathematics, University of Wisconsin André Minor Department of Mathematics, University of California at San Diego Ravi Shroff Centre for Mathematics and its Applications Mathematical Sciences Institute, Australian National University Duong Son Department of Mathematics, University of California Yuan Zhang Department of Mathematical Sciences, Indiana University-Purdue University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.10015

Arkiv for Matematik, 52, (2), 301-327, 2012.11
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[59] Existence of solutions to the Orlicz鈥揗inkowski problem

Huaiyu Jian Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43008

Advances in Mathematics, 344, 262-288, 2019.2
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[60] Non-lerfness of arithmetic hyperbolic manifold groups and mixed 3-manifold groups

Jein-Shan Chen Gue Myung Lee Mohamed A Tawhid Hongbin Sun Rutgers University New Brunswick

Geometric Analysis and Geometric Topology mathscidoc:1911.43002

Distinguished Paper Award in 2019

Duke Math Journal, 168, (4), 655–696, 2016
[ Download ] [ 2019-11-10 01:31:16 uploaded by hongbins ] [ 774 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[61] A four-dimensional Neumann ovaloid

Lavi Karp ORT Braude College Erik Lundberg Florida Atlantic University

Analysis of PDEs Geometric Analysis and Geometric Topology Numerical Analysis and Scientific Computing mathscidoc:1803.43015

Arkiv for Matematik, 55, 2017
[ Download ] [ 2018-03-01 17:09:14 uploaded by arkivadmin ] [ 772 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[62] On non-separating simple closed curves in a compact surface

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43801

Topology, 36, (2), 381-410, 1997.3
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[63] The classical Plateau problem and the topology of three-dimensional manifolds: the embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's Lemma

William H Meeks III Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43486

Topology, 21, (4), 409-442, 1982.1
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[64] Min-max theory for free boundary minimal hypersurfaces I-regularity theory

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43013

arXiv preprint arXiv:1611.02612, 2016.11
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[65] Moment maps, nonlinear PDE, and stability in Mirror Symmetry

Tristan C. Collins Massachusetts Institute of Technology Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology mathscidoc:2005.15001

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[66] The lp minkowski problem for the electrostatic p-capacity

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2103.10002

Journal of Differential Geometry, (6), 555-596, 2020.12
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[67] Volume preserving flow by powers of k-th mean curvature

Ben Andrews Australian National University Yong Wei Australian National University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1908.10009

2017.8
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[68] Semistable modifications of families of curves and compactified Jacobians

Eduardo Esteves Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, Brazil Marco Pacini Instituto de Matemática, Universidade Federal Fluminense Rua Mário Santos Braga

Geometric Analysis and Geometric Topology mathscidoc:1701.01023

Arkiv for Matematik, 54, (1), 55-83, 2014.1
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[69] Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

Qiang Guang Australian National University Martin Man-chun Li Chinese University of Hong Kong Zhichao Wang Max-Planck Institute for Mathematics Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10005

arXiv preprint arXiv:1907.12064, 2019.7
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[70] A hyper-Kahler compactification of the intermediate Jacobian fibration associated with a cubic 4-foldt

Radu Laza Stony Brook University Giulia Sacca Stony Brook University Claire Voisin College de France

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43002

Acta Mathematica, 218, (1), 2017
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[71] Heat kernels and non-local Dirichlet forms on ultrametric spaces

Alexander Bendikov Wroclaw University, Poland Alexander Grigor'yan Bielefeld University, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2011.15002

2019
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[72] Quantum trace map for 3-manifolds and a 'length conjecture'

Prarit Agarwal Queen Mary University of London, Mile End Road, London E1 4NS, UK; Elaitra Ltd Dongmin Gang Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Seoul 08826, Korea; Asia Pacific Center for Theoretical Physics (APCTP), Pohang 37673, Korea Sangmin Lee College of Liberal Studies, Seoul National University, Seoul 08826, Korea; Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Seoul 08826, Korea Mauricio Andrés Romo Jorquera Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Geometric Analysis and Geometric Topology arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.15001

arXiv, 2022.3
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[73] Structure of Manifolds with Positive Curvature Based on Geometric Analysis

Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43715

Notices of the International Congress of Chinese Mathematicians, 1, (2), 24-28, 2013.12
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[74] The dual Orlicz-Minkowski problem

Baocheng Zhu Hubei University for Nationalities Sudan Xing Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Analysis of PDEs Functional Analysis Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:1904.03005

J. Geom. Anal., 28, (14), 3829–3855, 2018.12
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[75] The weak elliptic Harnack inequality revisited

Jiaxin Hu Department of Mathematical Sciences, Tsinghua University, Beijing, China Zhenyu Yu Department of Mathematical Sciences, Tsinghua University, Beijing, China

Geometric Analysis and Geometric Topology mathscidoc:2208.15001

2022.4
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[76] A priori estimates and existence of solutions to the prescribed centroaffine curvature problem

Huaiyu Jian Jian Lu Xu-Jia Wang

Geometric Analysis and Geometric Topology mathscidoc:1910.43004

Journal of Functional Analysis, 274, (3), 826-862, 2018.2
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[77] The stability of the mean curvature flow in manifolds of special holonomy

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10026

2016.5
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[78] A remark on rotationally symmetric solutions to the centroaffine Minkowski problem

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43009

Journal of Differential Equations, 266, (7), 4394-4431, 2019.3
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[79] General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I

Richard J. Gardner Western Washington University Daniel Hug Karlsruhe Institute of Technology Wolfgang Weil Karlsruhe Institute of Technology Sudan Xing Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Analysis of PDEs Functional Analysis Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:1904.03004

Calc. Var. PDE., 58, 12, 2019
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[80] A modification of the Hodge star operator on manifolds with boundary

Ryszard L. Rubinsztein Department of Mathematics, Uppsala University

Geometric Analysis and Geometric Topology Rings and Algebras mathscidoc:1701.15005

Arkiv for Matematik, 52, (2), 355-365, 2012.12
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[81] On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space

Yong Wei Australian National University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1908.10008

Calculus of Variations and Partial Differential Equations, 57, (2), 46, 2018.4
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[82] Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Martin Man-chun Li Chinese University of Hong Kong Ailana Fraser University of British Columbia

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10001

Journal of Differential Geometry, 96, (2), 183-200, 2014
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[83] Balanced complexes and complexes without large missing faces

Michael Goff Department of Mathematics, University of Washington Steven Klee Department of Mathematics, University of Washington Isabella Novik Department of Mathematics, University of Washington

Geometric Analysis and Geometric Topology mathscidoc:1701.15003

Arkiv for Matematik, 49, (2), 335-350, 2009.7
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[84] Chord shortening flow and a theorem of Lusternik and Schnirelmann

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43019

Pacific Journal of Mathematics, 299, (2), 469-488, 2019.5
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[85] Odd manifolds of small integral simplicial volume

Clara Löh Universität Regensburg

Geometric Analysis and Geometric Topology mathscidoc:1912.43021

Arkiv for Matematik, 56, (2), 351 – 375, 2018
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[86] Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disk

Nikolaos Kapouleas Brown University Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43015

arXiv preprint arXiv:1709.08556, 2017.9
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[87] The pointwise existence and properties of heat kernel

Alexander Grigor'yan Bielefeld University, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2011.15001

2020
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[88] Growth of the Weil-Petersson inradius of moduli space

Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1909.43005

Annales de l'Institut Fourier, 69, 1309-1346, 2018
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[89] New affine inequalities and projectionmean ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Differential Geometry Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2103.10003

Calculus of Variations and PDEs, 58, (2), 44, 2019
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[90] Generalized Lagrangian mean curvature flows: the cotangent bundle case

Knut Smoczyk Leibniz Universität Hannover Mao-Pei Tsui The University of Toledo Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10027

2016.4
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[91] Nonuniqueness of solutions to the Lp-Minkowski problem

Huaiyu Jian Jian Lu Xu-Jia Wang

Geometric Analysis and Geometric Topology mathscidoc:1910.43002

Advances in Mathematics, 281, 845-856, 2015.8
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[92] New Pinching Estimates for Inverse Curvature Flows in Space Forms

Yong Wei Australian National University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1908.10010

The Journal of Geometric Analysis, 29, (2), 1555-1570, 2019.4
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[93] Lipschitz equivalence of self-similar sets and hyperbolic boundaries II

Guo-Tai Deng Hua Zhong Normal University Ka-Sing Lau The Chinese University of Hong Kong Jun Luo Chongqing University

Geometric Analysis and Geometric Topology mathscidoc:1702.15002

Journal of Fractal Geometry, 2015
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[94] Heegaard diagrams and handlebody groups

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43824

Topology and its Applications, 129, (2), 111-127, 2003.3
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[95] A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
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[96] Moran sets and hyperbolic boundaries

Jun Luo Shantou University

Geometric Analysis and Geometric Topology mathscidoc:1702.15003

Annales Academiæ Scientiarum Fennicæ Mathematica, 2013
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[97] $J$-embeddable reducible surfaces

Alberto Alzati Dipartimento di Matematica, Università di Milano Edoardo Ballico Dipartimento di Matematica, Università di Trento

Geometric Analysis and Geometric Topology mathscidoc:1701.15004

Arkiv for Matematik, 49, (2), 199-215, 2009.8
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[98] Existence of Self-similar Solutions to the Anisotropic Affine Curve-shortening Flow

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43010

International Mathematics Research Notices, 2018.11
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[99] Non-existence of geometric minimal foliations in hyperbolic three-manifolds

Wolf Michael Rice University Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1909.43004

Commentarii Mathematici Helvetici, 2019
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[100] A generalized rotationally symmetric case of the centroaffine Minkowski problem

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43006

Journal of Differential Equations, 264, (9), 5838-5869, 2018.5
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[101] Evaluating small sphere limit of the Wang-Yau quasi-local energy

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10032

2015.10
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[102] Semi-continuity of skeletons in 2-manifold and discrete Voronoi approximation

Yong-Jin Liu Tsinghua University

Computational Geometry Geometric Analysis and Geometric Topology Geometric Modeling and Processing mathscidoc:1608.09003

IEEE Transactions on Pattern Analysis and Machine Intelligence, 37, (9), 1938-1944, 2015.9
[ Download ] [ 2016-08-19 12:00:02 uploaded by liuyj ] [ 626 downloads ] [ 0 comments ] [ Cited by 5 ] [ Abstract ] [ Full ]
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[103] Stringc structures and modular invariants

Ruizhi Huang Chinese Academy of Sciences Fei Han National University of Singapore Haibao Duan Chinese Academy of Sciences

Differential Geometry Geometric Analysis and Geometric Topology Algebraic Topology and General Topology mathscidoc:2109.10001

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 374, (5), 3491–3533, 2021.5
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[104] A general existence theorem of embedded minimal surfaces with free boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10002

Communications on Pure and Applied Mathematics, 68, (2), 286-331, 2015.2
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[105] Near Support-free Multi-directional 3D Printing via Global-optimal Decomposition

Yisong Gao Lifang W Dong-Ming Yan Liangliang Nan

Geometric Analysis and Geometric Topology Geometric Modeling and Processing arXiv subject: Geometric Topology (math.GT) mathscidoc:2106.15001

Graphical Models, 104, (101034), 2019.7
[ Download ] [ 2021-06-21 15:15:15 uploaded by liangliangnan ] [ 614 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[106] On characteristic numbers of 24 dimensional string manifolds

Fei Han National University of Singapore Ruizhi Huang Chinese Academy of Sciences

Differential Geometry Geometric Analysis and Geometric Topology Algebraic Topology and General Topology mathscidoc:2112.10001

2021.9
[ Download ] [ 2021-12-06 12:35:12 uploaded by hrzsea ] [ 614 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[107] Curvature estimates for stable free boundary minimal hypersurfaces

Qiang Guang University of California Santa Barbara Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10003

Journal für die reine und angewandte Mathematik, 2018.5
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[108] The Lp capacitary Minkowski problem for polytopes

Xiong Ge Tongji University Xiong Jiawei Tongji University Xu Lu Hunan University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2103.15001

Journal of Functional Analysis, 277, (9), 3131–3155, 2019
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[109] A complete classification of homogeneous plane continua

Logan C. Hoehn Nipissing University Lex G. Oversteegen University of Alabama at Birmingham

Geometric Analysis and Geometric Topology mathscidoc:1911.43034

Acta Mathematica, 216, (2), 177-216, 2016
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[110] Monodromy groups of projective structures on punctured surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43797

Inventiones mathematicae, 111, (1), 541-555, 1993.12
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[111] Torsion elements in the mapping class group of a surface

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43794

arXiv preprint math/0004048, 2000.4
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[112] A Monge-Ampere-type equation motivated by string theory

Ji-Xiang Fu Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43547

Communications in Analysis and Geometry, 15, (1), 29-76, 2007.1
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[113] Nonexistence of maximizers for the functional of the centroaffine Minkowski problem

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43007

Science China Mathematics, 61, (3), 511-516, 2018.3
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[114] Uniform Bounds for Weil-Petersson Curvatures

Michael Wolf Rice University Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1904.15003

Proceedings of the London Mathematical Society, 117, (5), 1041–1076, 2018
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[115] Local Curvature Estimates of Long-Time Solutions to the Kahler-Ricci Flow

Frederick Tsz-Ho Fong Hong Kong University of Science and Technology Yashan Zhang Hunan University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2011.10001

Advances in Mathematics, 375, 107416, 2020.12
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[116] The Riemannian sectional curvature operator of the Weil-Petersson metric and Its application

Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1904.15001

Journal of Differential Geometry, 96, (3), 507-530, 2014
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[117] Uniform manin-mumford for a family of genus 2 curves

LAURA DEMARCO Northwestern University, Evanston, IL, USA HOLLY KRIEGER University of Cambridge, Cambridge, UK HEXI YE Zhejiang University, Hangzhou, China

Geometric Analysis and Geometric Topology mathscidoc:2105.15002

2019.2
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[118] $(1,1)$ forms with specified Lagrangian phase: A priori estimates and algebraic obstructions

Tristan C. Collins Massachusetts Institute of Technology Adam Jacob University of California, Davis Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology mathscidoc:2005.15002

Gold Award Paper in 2020

Cambridge Journal of Mathematics, (2), 407-452, 2020
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[119] On positive scalar curvature and moduli of curves

Kefeng Liu UCLA Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1904.15002

Distinguished Paper Award in 2019

Journal of Differential Geometry, 111, (2), 315–338, 2019
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[120] Hyperbolic mean curvature flow

Chun-Lei He De-Xing Kong Kefeng Liu

Geometric Analysis and Geometric Topology mathscidoc:1912.43062

Journal of Differential Equations, 246, (1), 373-390, 2009.1
[ Download ] [ 2019-12-21 11:13:27 uploaded by Kefeng_Liu ] [ 524 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[121] Martin boundary covers Floyd boundary

Ilya Gekhtman Department of Mathematics, Technion-Israeli Institute of Technology, 32000 Haifa, Israel Victor Gerasimov Departamento de Matemática, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Caixa Postal 702, 30161-970 Brasil Leonid Potyagailo UFR de Mathématiques, Université de Lille, 59655 Villeneuve d’Ascq, France Wenyuan Yang Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China

Dynamical Systems Geometric Analysis and Geometric Topology Group Theory and Lie Theory Probability mathscidoc:2203.11005

Inventiones Mathematicae, 223, 759-809, 2021.1
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[122] Moment maps, nonlinear PDE and stability in Mirror Symmetry, I: Geodesics

Tristan C. Collins MIT Shing-Tung Yau Harvard

Geometric Analysis and Geometric Topology mathscidoc:2105.15001

Ann. PDE, 2021.3
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[123] Invariant metrics on negatively pinched complete kahler manifolds

DAMIN WU University of Connecticut SHING-TUNG YAU Harvard University

Geometric Analysis and Geometric Topology mathscidoc:2105.15003

2019.5
[ Download ] [ 2021-05-25 11:36:08 uploaded by admin ] [ 503 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[124] Modular invariance and characteristic numbers

Kefeng Liu

Geometric Analysis and Geometric Topology mathscidoc:1912.43057

Communications in mathematical physics, 174, (1), 29-42, 1995.11
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[125] Cosmetic surgeries on knots in S^3

Yi Ni Caltech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15001

Distinguished Paper Award in 2018

J. reine angew. Math, 706, 1-17, 2015
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[126] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

Francesco Lin Michael Lipnowski

Differential Geometry Geometric Analysis and Geometric Topology Number Theory mathscidoc:2203.10007

Journal of the Americal Mathematical Society, 35, (1), 233-293, 2022.1
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[127] Conformal embedding of a disc with a Lorentz metric into the plane

Feng Luo Richard Stong

Geometric Analysis and Geometric Topology mathscidoc:1912.43816

Mathematische Annalen, 309, (3), 359-373, 1997.11
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[128] Rigidity of inversive distance circle packings revisited

Xu Xu Wuhan University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2104.15003

Advances in Mathematics, 332, 476–509, 2018.5
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[129] Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds

Alex Casella Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43808

Proceedings of the American Mathematical Society, 145, (8), 3543-3560, 2017
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[130] A new combinatorial class of 3-manifold triangulations

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43818

arXiv preprint arXiv:1312.5087, 2013.12
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[131] On the global rigidity of sphere packings on 3-dimensional manifolds

Xu Xu Wuhan University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2104.15001

Journal of Differential Geometry, 115, (1), 175-193, 2020.5
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[132] The infinitesimal and global Thurston geometry of Teichmüller space

Yi Huang YMSC, Tsinghua University Ken'ichi Ohshika Gakushuin University Athanase Papadopoulos IRMA, University of Strasbourg

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10003

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[133] Convergence of an iterative algorithm for Teichm\" uller maps via generalized harmonic maps

Lui Lok Ming Gu Xianfeng Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43694

arXiv preprint arXiv:1307.2679, 2013.7
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[134] Triangulated 3-Manifolds: Combinatorics and Volume Optimisation

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43825

arXiv preprint arXiv:1312.5087, 2013.12
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[135] A note on complete hyperbolic structures on ideal triangulated 3-manifolds

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43820

Contemporary Mathematics, 560, 19-26, 2011
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[136] The hyperbolic geometric flow on Riemann surfaces

De-Xing Kong Kefeng Liu De-Liang Xu

Geometric Analysis and Geometric Topology mathscidoc:1912.43064

Communications in Partial Differential Equations, 34, (6), 553-580, 2009.5
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[137] Homotopically trivial symmetries of Haken manifolds are toral

Michael Freedman Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43607

Topology, 22, (2), 179-189, 1983.1
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[138] Gradient-like vector fields on a complex analytic variety

Cheol-Hyun Cho Giovanni Marelli

Geometric Analysis and Geometric Topology mathscidoc:1912.43243

arXiv preprint arXiv:0908.1862, 2009.8
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[139] Volume doubling, Poincar\'{e} inequality and Gaussian heat kernel estimate for non-negatively curved graphs

Paul Horn Denver University Yong Lin Renmin University of China Shuang Liu Renmin University of China Shing-Tung Yau Harvard University

Combinatorics Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10074

Journal für die reine und angewandte Mathematik, 2017.12
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[140] Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43792

Journal of Differential Geometry, 93, (2), 299-326, 2013
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[141] Measured lamination spaces on surfaces and geometric intersection numbers

Feng Luo Richard Stong

Geometric Analysis and Geometric Topology mathscidoc:1912.43823

Topology and its Applications, 136, 205-217, 2004.1
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[142] Combinatorial Calabi flow with surgery on surfaces

Xu Xu Wuhan University Xiang Zhu Shanghai University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2104.15002

Calculus of Variations and Partial Differential Equations, 58, (6), 195, 2019.12
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[143] Simple geodesics and Markoff quads

Yi Huang Tsinghua University Paul Norbury University of Melbourne

Geometric Analysis and Geometric Topology Representation Theory arXiv subject: Geometric Topology (math.GT) mathscidoc:2206.15001

Geometriae Dedicata, 186, 113-148, 2016.8
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[144] Geometrically Induced Spectral Effects in Tubes with a Mixed DirichletNeumann Boundary

Fedor L Bakharev Pavel Exner

Geometric Analysis and Geometric Topology mathscidoc:1910.43263

Reports on Mathematical Physics, 81, (2), 213-231, 2018.4
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[145] New structure of knot invariants

Kefeng Liu Pan Peng

Geometric Analysis and Geometric Topology mathscidoc:1912.43074

arXiv preprint arXiv:1012.2636, 2010.12
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[146] Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space

Yi Huang YMSC, Tsinghua University Athanase Papadopoulos IRMA, University of Strasbourg

Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) mathscidoc:2206.15002

Geometriae Dedicata, 214, 465-488, 2021.4
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[147] Triangulated 3-Manifolds: from Hakens normal surfaces to Thurstons algebraic equation

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43813

Interactions between hyperbolic geometry, quantum topology and number theory, Contemp. Math, 541, 183-204
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[148] Volume and rigidity of hyperbolic polyhedral 3manifolds

Feng Luo Tian Yang

Geometric Analysis and Geometric Topology mathscidoc:1912.43795

Journal of Topology, 11, (1), 1-29, 2018.3
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[149] 3-dimensional Schlfli formula and its generalization

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43807

arXiv preprint arXiv:0802.2580, 2008.2
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[150] A combinatorial curvature flow for compact 3-manifolds with boundary

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43788

Electronic Research Announcements of the American Mathematical Society, 11, (2), 12-20, 2005
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[151] Rigidity of polyhedral surfaces, I

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43800

Journal of Differential Geometry, 96, (2), 241-302
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[152] A dilogarithm identity on moduli spaces of curves

Feng Luo Ser Peow Tan

Geometric Analysis and Geometric Topology mathscidoc:1912.43790

Journal of Differential Geometry, 97, (2), 255-274, 2014
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[153] Volume and angle structures on 3-manifolds

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43799

Asian Journal of Mathematics, 11, (4), 555-566, 2007
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[154] Angle structures and normal surfaces

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43787

Transactions of the American Mathematical Society, 360, (6), 2849-2866, 2008
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[155] On a Conjecture of Milnor about Volume of Simplexes

Ren Guo Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43827

122-137, 2008
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[156] Thurstons spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3manifolds

Feng Luo Stephan Tillmann Tian Yang

Geometric Analysis and Geometric Topology mathscidoc:1912.43785

Proceedings of the American Mathematical Society, 141, (1), 335-350, 2013
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[157] A characterization of spherical polyhedral surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43796

Journal of Differential Geometry, 74, (3), 407-424, 2006
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[158] Isotopy of the Dehn twist on K3#K3 after a single stabilization

林剑锋 清华大学丘成桐数学科学中心

Geometric Analysis and Geometric Topology mathscidoc:2205.15002

Geometry & Topology
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[159] Solving Thurston's equation in a commutative ring

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43805

Journal of Topology, 9, (1), 143-160, 2016.11
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[160] Variational principles on triangulated surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43806

arXiv preprint arXiv:0803.4232, 2008.3
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[161] Intersection forms of spin 4-manifolds and the Pin(2)-equivariant Mahowald invariant

MICHAEL J. HOPKINS Harvard University 林剑锋 清华大学丘成桐数学科学中心 XiaoLin Danny Shi University of Chicago Zhouli Xu UC San Diego

Geometric Analysis and Geometric Topology mathscidoc:2205.15001

Communications of the American Mathematical Society, 2022.2
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[162] Geodesic ideal triangulations exist virtually

Feng Luo Saul Schleimer Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43793

Proceedings of the American Mathematical Society, 136, (7), 2625-2630, 2008
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[163] Cell decompositions of Teichmller spaces of surfaces with boundary

Ren Guo Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43812

Pacific journal of mathematics, 253, (2), 423-438, 2012.1
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[164] Continuity of the volume of simplices in classical geometry

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43791

Communications in Contemporary Mathematics, 8, (3), 411-431, 2006.6
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[165] Flows on the PGL(V)-Hitchin component

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2203.10006

Geometric And Functional Analysis, 30, 588-692, 2020.5
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[166] Finite presentations for spherical/braid twist groups from decorated marked surfaces

Yu Qiu Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084 China Yu Zhou Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084 China

Geometric Analysis and Geometric Topology Representation Theory mathscidoc:2204.15001

Journal of Topology, 13, 501-538, 2020.3
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[167] McShane identities for quasifuchsian representations of nonorientable surfaces

Yi Huang YMSC, Tsinghua University

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10001

International Mathematics Research Notices, 2021, (3), 1760-1808, 2021.2
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[168] Unfolded Seiberg-Witten Floer spectra, I: Definition and invariance

Tirasan Khandhawit Kavli Institute for the Physics and Mathematics of the Universe 林剑锋 Massachusetts Institute of Technology Hirofumi Sasahira Kyushu University

Geometric Analysis and Geometric Topology mathscidoc:2205.15004

Geometry & Topology, 4, 2018.4
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[169] The Seiberg-Witten equations on end-periodic manifolds and an obstruction to positive scalar curvature metrics

林剑锋 Massachusetts Institute of Technology

Geometric Analysis and Geometric Topology mathscidoc:2205.15007

Journal of topology, 12, (2), 2019.6
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[170] A McShane-type Identity for Closed Surfaces

Yi Huang Tsinghua University

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10002

Nagoya Mathematical Journal, 219, 65, 2015.9
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[171] Virtual homological spectral radii for automorphisms of surfaces

Yi Liu International Center for Mathematical Research (BICMR), Beijing (Peking) University, Beijing, PEOPLES REPUBLIC OF CHINA

Dynamical Systems Geometric Analysis and Geometric Topology mathscidoc:2203.11004

Journal of the Americal Mathematical Society, 33, (4), 1167-1227, 2020.10
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[172] Periodic flows with global sections

Khadija Ben Rejeb Institute of Computer Science and Communication Techniques, University of Sousse, Hammam Sousse, Tunisia

Geometric Analysis and Geometric Topology mathscidoc:2203.15001

Arkiv for Matematik, 58, (1), 39-56, 2020.4
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[173] SU(2)-cyclic surgery on knot

林剑锋 University of California Los Angeles

Geometric Analysis and Geometric Topology mathscidoc:2205.15009

International Mathematics Research Notices, 19, 2016.5
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[174] On the Frøyshov invariant and monopole Lefschetz number

林剑锋 清华大学丘成桐数学科学中心 Daniel Ruberman Brandeis University Nikolai Saveliev University of Miami

Geometric Analysis and Geometric Topology mathscidoc:2205.15006

Journal of Differential Geometry, 2021.7
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[175] Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds

林剑锋 University of California Los Angeles

Geometric Analysis and Geometric Topology mathscidoc:2205.15010

Algebraic & Geometric Topology, 2015.6
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[176] On the monopole Lefschetz number of finite order diffeomorphisms

林剑锋 清华大学丘成桐数学科学中心 Daniel Ruberman Brandeis University Nikolai Saveliev University of Miami

Geometric Analysis and Geometric Topology mathscidoc:2205.15005

Geometry & Topology, 25, 2021.7
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[177] The A-polynomial and holonomy perturbations

林剑锋 University of California Los Angeles

Geometric Analysis and Geometric Topology mathscidoc:2205.15011

Mathematical Research Letters, 22, (5), 2015.5
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[178] A splitting theorem for the Seiberg-Witten invariant of a homology S1×S3

林剑锋 Massachusetts Institute of Technology Daniel Ruberman Brandeis University Nikolai Saveliev University of Miami

Geometric Analysis and Geometric Topology mathscidoc:2205.15008

Geometry & Topology, 22, (5), 2018.5
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[179] Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

Martin Bridgeman Boston College, Chestnut Hill (Boston) Yunhui Wu Qinghua (Tsing Hua) University, Beijing, PEOPLES REPUBLIC OF CHINA

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2203.10005

Journal für die Reine und Angewandte Mathematik, 770, 159-181, 2021.12
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[180] Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem

Tirasan Khandhawit Kavli Institute for the Physics and Mathematics of the Universe 林剑锋 清华大学丘成桐数学科学中心 Hirofumi Sasahira Kyushu University

Geometric Analysis and Geometric Topology mathscidoc:2205.15003

Journal of Differential Geometry
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[181] Fixed subgroups of automorphisms of hyperbolic 3-manifold groups

林剑锋 University of California Los Angeles Shicheng Wang Peking University

Geometric Analysis and Geometric Topology mathscidoc:2205.15012

Topology and its Applications, 173, (15), 2014.8
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[182] Teichm\" uller extremal mapping and its applications to landmark matching registration

Lok Ming Lui Ka Chun Lam Shing-Tung Yau Xianfeng Gu

Geometric Analysis and Geometric Topology mathscidoc:1912.43635

arXiv preprint arXiv:1211.2569, 2012.11
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[183] Geodesic length functions and Teichm\" uller spaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43782

arXiv preprint math/9801024, 1998.1
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[184] Equivariant isotopy of unknots to round circles

Michael H Freedman Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43811

Topology and its Applications, 64, (1), 59-74, 1995.6
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[185] Products of Positive Dehn-twists on Surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43830

arXiv preprint math/9905139
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[186] A Characterization of Spherical Cone Metrics on Surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43810

2004
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[187] Computing shortest words via shortest loops on hyperbolic surfaces

Xiaotian Yin Yinghua Li Wei Han Feng Luo Xianfeng David Gu Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43681

Computer-Aided Design, 43, (11), 1449-1456, 2011.11
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[188] Some applications of a multiplicative structure on simple loops in surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43802

arXiv preprint math/9907059, 1999.7
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[189] Volume maximization and the extended hyperbolic space

Feng Luo Jean-Marc Schlenker

Geometric Analysis and Geometric Topology mathscidoc:1912.43819

Proceedings of the American Mathematical Society, 140, (3), 1053-1068, 2012
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[190] Automorphisms of Thurston's space of measured laminations

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43815

arXiv preprint math/9905140, 1999.5
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[191] Grothendiecks reconstruction principle and 2-dimensional topology and geometry

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43809

Handbook of Teichmller theory, 2, 733-765, 1999.3
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[192] Grothendieck's reconstruction principle and 2-dimensional topology and geometry

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43804

arXiv preprint math/9904019, 1999.4
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