Geometric Analysis and Geometric Topology

[1] 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

Cambridge Journal of Mathematics, 6, (4), 451-496, 2018
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[2] $(1,1)$ 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

Cambridge Journal of Mathematics, (2), 407-452, 2020
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[3] 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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[4] 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
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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] 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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[11] 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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[12] 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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[13] 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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[14] 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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[15] 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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[16] 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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[17] 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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[18] 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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[19] 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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[20] 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
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[21] 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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[22] 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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[23] 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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[24] A Characterization of Spherical Cone Metrics on Surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43810

2004
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[25] 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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[26] 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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[27] 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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[28] 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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[29] 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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[30] 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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[31] 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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[32] 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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[33] 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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[34] 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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[35] 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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[36] 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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[37] 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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[38] 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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[39] 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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[40] 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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[41] 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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[42] 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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[43] 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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[44] 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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[45] 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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[46] 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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[47] 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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[48] 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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[49] 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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[50] 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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[51] 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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[52] 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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[53] 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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[54] 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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[55] 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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[56] 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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[57] 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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[58] 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
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[59] 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
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[60] 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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[61] 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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[62] 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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[63] 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

Duke Math Journal, 168, (4), 655–696, 2016
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[64] 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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[65] 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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[66] 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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[67] 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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[68] 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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[69] 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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[70] 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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[71] 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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[72] 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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[73] 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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[74] 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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[75] 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

Quantum Topology, 9, 419–460, 2018
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[76] 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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[77] 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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[78] 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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[79] 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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[80] 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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[81] 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

American Journal of Mathematics, 137, (5), 1149-1208, 2015.10
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[82] McShane identities for Higher Teichmüller theory and the Goncharov-Shen potential

Yi Huang Yau Mathematical Sciences Center Zhe Sun University of Luxembourg

Geometric Analysis and Geometric Topology Representation Theory mathscidoc:1905.15001

89, 2019.1
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[83] 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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[84] On positive scalar curvature and moduli of curves

Kefeng Liu UCLA Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1904.15002

Journal of Differential Geometry, 111, (2), 315–338, 2019
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[85] 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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[86] 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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[87] 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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[88] 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

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
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[89] 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

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[90] 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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[91] 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

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[92] 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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[93] 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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[94] 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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[95] 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
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[96] 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
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[97] 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
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[98] 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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[99] 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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[100] 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

Acta Mathematica, 218, (1), 2017
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[101] 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
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[102] 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
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[103] 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

J. reine angew. Math, 706, 1-17, 2015
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[104] Rigidity of polyhedral surfaces I

Feng Luo Rutgers University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1705.10005

J. Differential Geometry, 96, (2), 241-302, 2014
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[105] 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

The Journal de Ecole polytechnique , 2017.3
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[106] Moran sets and hyperbolic boundaries

Jun Luo Shantou University

Geometric Analysis and Geometric Topology mathscidoc:1702.15003

Annales Academiæ Scientiarum Fennicæ Mathematica, 2013
[ Download ] [ 2017-02-17 22:34:43 uploaded by Jason_Luo ] [ 171 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[107] 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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[108] 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
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[109] 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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[110] 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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[111] 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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[112] 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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[113] 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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[114] 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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[115] $J$-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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[116] 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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[117] 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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[118] 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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[119] 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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[120] 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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[121] 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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[122] 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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[123] 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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[124] 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

Communications on Pure and Applied Mathematics , 69, (1), 124-144, 2016.1
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[125] 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
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[126] 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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[127] 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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[128] 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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[129] 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
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[130] 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
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[131] 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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[132] 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
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[133] 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
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[134] 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 ] [ 156 downloads ] [ 0 comments ] [ Cited by 5 ] [ Abstract ] [ Full ]
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[135] 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 ] [ 404 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[136] 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 ] [ 231 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[137] 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
[ Download ] [ 2016-05-25 10:19:46 uploaded by scllouis ] [ 423 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[138] 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

Journal of Differential Geometry
[ Download ] [ 2016-05-25 10:11:52 uploaded by scllouis ] [ 550 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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