Symplectic Geometry

[1] A cyclic group action on Fukaya categories from mirror symmetry

Chow Chi Hong The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:2004.34001

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[2] Equivariant split generation and mirror symmetry of special isogenous tori

Weiwei Wu

Symplectic Geometry mathscidoc:1912.431050

Advances in Mathematics, 323, 279-325, 2018.1
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[3] Mirror Symmetry of Fourier MukaitransformationforEllipticCalabi Yau manifolds

Naichung Conan Leung Shing-Tung Yau

Symplectic Geometry mathscidoc:1912.43663

2007.5
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[4] HyperK\" ahler Manifolds and Birational Transformations

Yi Hu Shing-Tung Yau

Symplectic Geometry mathscidoc:1912.43616

arXiv preprint math/0111089, 2001.11
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[5] Taming symplectic forms and the CalabiYau equation

Valentino Tosatti Ben Weinkove Shing-Tung Yau

Symplectic Geometry mathscidoc:1912.43518

Proceedings of the London Mathematical Society, 97, (2), 401-424, 2008.9
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[6] ChernWeil Maslov index and its orbifold analogue

Cheol-Hyun Cho Hyung-Seok Shin

Symplectic Geometry mathscidoc:1912.43242

Asian Journal of Mathematics, 20, (1), 1-20, 2012.1
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[7] Chern-Weil Maslov index and its orbifold analogue

Cheol-Hyun Cho Hyung-Seok Shin

Symplectic Geometry mathscidoc:1912.43241

arXiv preprint arXiv:1202.0556, 2012.2
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[8] On the obstructed Lagrangian Floer theory

Cheol-Hyun Cho

Symplectic Geometry mathscidoc:1912.43240

Advances in Mathematics, 229, (2), 804-853, 2012.1
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[9] Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle

Cheol-Hyun Cho

Symplectic Geometry mathscidoc:1912.43239

Journal of Geometry and Physics, 58, (11), 1465-1476, 2008.11
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[10] Products of Floer cohomology of torus fibers in toric Fano manifolds

Cheol-Hyun Cho

Symplectic Geometry mathscidoc:1912.43238

Communications in mathematical physics, 260, (3), 613-640, 2005.12
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[11] Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds

Cheol-Hyun Cho Yong-Geun Oh

Symplectic Geometry mathscidoc:1912.43237

ASIAN J. MATH., 10, (4), 773-814, 2003.8
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[12] On Legendrian embeddings into open book decompositions

Selman Akbulut Michigan State University Mehmet Firat Arikan Middle East Technical University

Symplectic Geometry mathscidoc:1912.43037

Arkiv for Matematik, 57, (2), 227 – 245, 2019
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[13] A simple construction of positive loops of Legendrians

Dishant Pancholi Institute for Mathematical Sciences, Taramani, Chennai, India José Luis Pérez Instituto de Ciencias Matemáticas, Madrid, Spain Francisco Presas Instituto de Ciencias Matemáticas, Madrid, Spain

Symplectic Geometry mathscidoc:1912.43022

Arkiv for Matematik, 56, (2), 377-394, 2018
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[14] Open Gromov-Witten invariants and mirror maps for semi-Fano toric manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Boston University Naichung Conan Leung The Chinese University of Hong Kong Hsian-Hua Tseng Ohio State University

Symplectic Geometry mathscidoc:1908.34001

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[15] Existence of noncontractible periodic orbits of Hamiltonian system separating two Lagrangian tori on $T^*\mathbb T^n$ with application to non convex Hamiltonian systems

Jinxin Xue Tsinghua University

Symplectic Geometry mathscidoc:1907.34001

Journal of Symplectic Geometry, 15, (3), 905-936, 2017
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[16] Pseudotoric structures and special Lagrangian torus fibrations on certain flag varieties

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Changzheng Li Sun Yat-sen University

Symplectic Geometry mathscidoc:1905.34003

J. Geom. Phys., 2019
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[17] SYZ mirror symmetry for hypertoric varieties

Siu-Cheong Lau Boston University Xiao Zheng Boston University

Symplectic Geometry mathscidoc:1905.34002

Communications in Mathematical Physics
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[18] Mirror of Atiyah flop in symplectic geometry and stability conditions

Atsushi Kanazawa Kyoto University Siu-Cheong Lau Boston University

Symplectic Geometry mathscidoc:1905.34001

Advances in Theoretical and Mathematical Physics
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[19] A complete knot invariant from contact homology

Tobias Ekholm Uppsala University Lenhard Ng Duke University Vivek Shende University of California

Symplectic Geometry mathscidoc:1811.43005

Inventiones Mathematicae, 2018
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[20] Geometric quantization via SYZ transforms

Kwokwai Chan The Chinese University of Hong Kong Yat-Hin Suen IBS Center for Geometry and Physics

Symplectic Geometry mathscidoc:1808.34001

Adv. Theor. Math. Phys.
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[21] 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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[22] On regular courant algebroids

Zhuo Chen Tsinghua University Mathieu Stienon Pennsylvania State University Ping Xu Pennsylvania State University

Differential Geometry Symplectic Geometry mathscidoc:1803.10006

JOURNAL OF SYMPLECTIC GEOMETRY, 11, (1), 1-24, 2013.1
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[23] SYZ transforms for immersed Lagrangian multi-sections

Kwokwai Chan The Chinese University of Hong Kong Yat-Hin Suen The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1802.34001

Trans. Amer. Math. Soc., 372, (8), 5747-5780, 2019.10
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[24] Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies

Todor Milanov IPMU Yefeng Shen IPMU Hsian-Hua Tseng Ohio State University

Mathematical Physics Quantum Algebra Representation Theory Symplectic Geometry mathscidoc:1801.01004

Geometry and Topology, 20, 2135--2218, 2016
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[25] Symplectic Boundary Conditions and Cohomology

Li-Sheng Tseng University of California, Irvine Lihan Wang University of Connecticut

Symplectic Geometry mathscidoc:1711.34001

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[26] The eigenvector moment flow and local quantum unique ergodicity

Bourgade P Cambridge University HT Yau Harvard University

Symplectic Geometry mathscidoc:1707.34001

Commun. Math. Phys., 350, 231-278, 2017
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[27] Calabi–Yau caps, uniruled caps and symplectic fillings

Tian-Jun Li University of Minnesota Cheuk Yu Mak University of Minnesota Kouichi Yasui Hiroshima University

Symplectic Geometry mathscidoc:1705.01002

Proc. London Math. Soc., 114, (3), 159–187, 2017
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[28] Lagrangian spheres, symplectic surfaces and the symplectic mapping class group

Tianjun Li University of Minnesota Weiwei Wu University of Minnesota

Symplectic Geometry mathscidoc:1705.34001

Geom. Topol., 16, (2), 1121–1169, 2012
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[29] Almost Kähler forms on rational 4-manifolds

Tianjun Li University of Minnesota Weiyi Zhang University of Warwick

Complex Variables and Complex Analysis Symplectic Geometry mathscidoc:1705.01001

Amer. J. Math., 137, (5), 1209–1256, 2015
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[30] Quasimap SYZ for toric Calabi-Yau manifolds

Kwokwai Chan The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1704.34001

Adv. Lect. Math., 44, 317-333, 2019.5
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[31] Exact Lagrangians in A_n-singularities

Weiwei Wu University of Georgia

Symplectic Geometry mathscidoc:1703.34002

Math. Ann.
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[32] On an exotic Lagrangian torus in CP^2

Weiwei Wu University of Georgia

Symplectic Geometry mathscidoc:1703.34001

Compositio Math.
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[33] Odd Sphere Bundles, Symplectic Manifolds, and Their Intersection Theory

Hiro Lee Tanaka Harvard University Li-Sheng Tseng University of California, Irvine

Symplectic Geometry mathscidoc:1702.34002

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[34] Cohomology and Hodge Theory on Symplectic Manifolds: III

Chung-Jun Tsai National Taiwan University Li-Sheng Tseng University of California, Irvine Shing-Tung Yau Harvard University

Symplectic Geometry mathscidoc:1702.34001

J. Differential Geometry, 103, 83-143, 2016
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[35] 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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[36] Parallel mean curvature surfaces in symmetric spaces

Maria João Ferreira Departamento de Matemática Faculdade de Ciências, Universidade de Lisboa Renato Tribuzy Departamento de Matemática, Universidade Federal do Amazonas

Symplectic Geometry mathscidoc:1701.34002

Arkiv for Matematik, 52, (1), 93-98, 2012.3
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[37] Area-preserving isotopies of self-transverse immersions of$S$^{1}in ℝ^{2}

Cecilia Karlsson Department of Mathematics, Uppsala University

Metric Geometry Symplectic Geometry mathscidoc:1701.23001

Arkiv for Matematik, 51, (1), 85-97, 2011.3
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[38] Volume formula for a ℤ_{2}-symmetric spherical tetrahedron through its edge lengths

Alexander Kolpakov Departement für Mathematik, Universität Freiburg Alexander Mednykh Sobolev Institute of Mathematics, Novosibirsk State University Marina Pashkevich Department of Mathematics and Mechanics, Novosibirsk State University

Symplectic Geometry mathscidoc:1701.34001

Arkiv for Matematik, 51, (1), 99-123, 2010.8
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[39] Exhausting domains of the symmetrized bidisc

Peter Pflug Institut für Mathematik, Carl von Ossietzky Universität Oldenburg Włodzimierz Zwonek Instytut Matematyki, Uniwersytet Jagielloński

Complex Variables and Complex Analysis Symplectic Geometry mathscidoc:1701.08008

Arkiv for Matematik, 50, (2), 397-402, 2010.8
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[40] A quadratic inequality for sum of coadjoint orbits

Conan Leung Chinese Univ of HK Xiaowei Wang Chinese Univ of HK

Symplectic Geometry mathscidoc:1608.34014

Comm Analy Geom, 17, (2), 265-282, 2009
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[41] Almost toric symplectic four-manifolds

Conan Leung Chinese Univ of HK Margaret Symington

Symplectic Geometry mathscidoc:1608.34013

Journal of Symplectic Geometry, 8, (2), 143-187, 2010
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[42] Grassmannians of symplectic subspaces

Conan Leung Chinese Univ of HK Jae-Hyouk Lee Ewha Womans Univ

Symplectic Geometry mathscidoc:1608.34012

Manuscripta Math., 136, 383-410, 2011
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[43] Seidel Representations and Quantum Cohomology of Toric Orbifolds

Hsian-Hua Tseng Ohio State University Dongning Wang University of Wisconsin-Madison

Symplectic Geometry mathscidoc:1608.34011

2012
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[44] A formula equating open and closed Gromov-Witten invariants and its applications to mirror symmetry

Kwokwai Chan The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1608.34010

Pacific J. Math., 254, (2), 2012.2
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[45] SYZ mirror symmetry for toric Calabi-Yau manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau IPMU, University of Tokyo Naichung Conan Leung The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1608.34009

J. Differential Geom., 90, (2), 177-250, 2012
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[46] Enumerative meaning of mirror maps for toric Calabi-Yau manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Harvard University Hsian-Hua Tseng Ohio State University

Symplectic Geometry mathscidoc:1608.34008

Advances in Mathematics, 244, 605-625, 2013
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[47] Homological mirror symmetry for An-resolutions as a T-duality

Kwokwai Chan The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1608.34007

J. Lond. Math. Soc., 87, (1), 204-222, 2013
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[48] Dual torus fibrations and homological mirror symmetry for An-singularities

Kwokwai Chan The Chinese University of Hong Kong Kazushi Ueda Osaka University

Symplectic Geometry mathscidoc:1608.34006

Commun. Number Theory Phys., 7, (2), 361-396, 2013
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[49] Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds

Kwokwai Chan The Chinese University of Hong Kong Cheol-Hyun Cho Seoul National University Siu-Cheong Lau Harvard University Hsian-Hua Tseng Ohio State University

Symplectic Geometry mathscidoc:1608.34005

Comm. Math. Phys., 328, (1), 83-130, 2014
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[50] Open Gromov-Witten invariants and superpotentials for semi-Fano toric surfaces

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Harvard University

Symplectic Geometry mathscidoc:1608.34004

Int. Math. Res. Not. IMRN, 2014, (14), 3759-3789, 2014
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[51] SYZ mirror symmetry for toric varieties

Kwokwai Chan The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1608.34003

2014.12
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[52] Lagrangian torus fibrations and homological mirror symmetry for the conifold

Kwokwai Chan The Chinese University of Hong Kong Daniel Pomerleano Kavli IPMU, University of Tokyo Kazushi Ueda University of Tokyo

Symplectic Geometry mathscidoc:1608.34002

Comm. Math. Phys., 341, (1), 135-178, 2016
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[53] Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Harvard University Naichung Conan Leung The Chinese University of Hong Kong Hsian-Hua Tseng Ohio State University

Symplectic Geometry mathscidoc:1608.34001

Duke Math. J., 166, (8), 1405-1462, 2017.6
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[54] Noncommutative homological mirror functor

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

Symplectic Geometry mathscidoc:1605.15002

Memoirs of the American Mathematical Society
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