Symplectic Geometry

[1] 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
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[2] 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

Silver Award Paper in 2017

J. Differential Geom., 90, (2), 177-250, 2012
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[3] SYZ mirror symmetry for toric varieties

Kwokwai Chan The Chinese University of Hong Kong

Symplectic Geometry mathscidoc:1608.34003

Adv. Lect. Math. (ALM), 47, 1-32, 2020.3
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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] The eigenvector moment flow and local quantum unique ergodicity

Bourgade P Cambridge University HT Yau Harvard University

Symplectic Geometry mathscidoc:1707.34001

Distinguished Paper Award in 2017

Commun. Math. Phys., 350, 231-278, 2017
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[11] 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., 24, (1), 25-66, 2020.5
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[12] 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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[13] 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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[14] 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

Distinguished Paper Award in 2017

J. Differential Geometry, 103, 83-143, 2016
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[15] 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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[16] 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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[17] 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

Distinguished Paper Award in 2017

Proc. London Math. Soc., 114, (3), 159–187, 2017
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[18] 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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[19] 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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[20] 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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[21] 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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[22] 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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[23] 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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[24] 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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[25] 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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