Mathematics

[1] A glimpse of the SYZ conjecture and related developments

Kwokwai Chan The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10003

ICCM Not., 4, (1), 14-28, 2016
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[2] 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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[3] 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

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[4] Scattering diagrams from asymptotic analysis on Maurer-Cartan equations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Ziming Nikolas Ma The Chinese University of Hong Kong

Differential Geometry mathscidoc:1606.10001

J. Eur. Math. Soc. (JEMS), 24, (3), 773–849, 2022.4
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[5] A differential-geometric approach to deformations of pairs (X,E)

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

Differential Geometry mathscidoc:1608.10002

Complex Manifolds, 3, 16-40, 2016
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[6] 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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[7] BV quantization of the Rozansky-Witten model

Kwokwai Chan The Chinese University of Hong Kong Qin Li Southern University of Science and Technology Naichung Conan Leung The Chinese University of Hong Kong

Mathematical Physics mathscidoc:1606.22001

Comm. Math. Phys., 355, (1), 97-144, 2017.10
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[8] 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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[9] Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau 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

Differential Geometry mathscidoc:1608.10001

J. Differential Geom., 103, (2), 207-288, 2016
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[10] The Ooguri-Vafa metric, holomorphic discs and wall-crossing

Kwokwai Chan Harvard University

Differential Geometry mathscidoc:1608.10006

Math. Res. Lett., 17, (3), 2010.6
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[11] On the jumping phenomenon of dim H^q(X_t,E_t)

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

Differential Geometry mathscidoc:1606.15002

Asian J. Math., 23, (4), 681-702, 2019.8
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[12] Quantizable functions on Kähler manifolds and non-formal quantization

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Quantum Algebra mathscidoc:2211.29001

Advances in Mathematics, 433, 109293, 2023.11
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[13] Mirror symmetry for toric Fano manifolds via SYZ transformations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10008

Advances in Mathematics, 223, (3), 2009.10
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[14] 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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[15] 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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[16] Open Gromov-Witten invariants, mirror maps, and Seidel representations for 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 Unviersity

mathscidoc:1608.01001

Best Paper Award in 2019

Duke Mathematical Journal
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[17] 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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[18] Miyaoka-Yau-type inequalities for Kahler-Einstein manifolds

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10010

Comm. Anal. Geom., 15, (2), 2007.3
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[19] Homological mirror symmetry for local Calabi-Yau manifolds via SYZ

Kwokwai Chan The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10011

Taiwanese J. Math., 21, (3), 505-529, 2017
[ Download ] [ 2016-08-17 12:35:11 uploaded by kwchan ] [ 911 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Matrix factorizations from SYZ transformations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10005

Adv. Lect. Math., 21, 2012.7
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[21] Syz mirror symmetry for toric calabi-yau manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Mathematics of the Universe Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1609.10250

Journal of Differential Geometry, 90, (1), 177-250, 2012
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[22] SYZ mirror symmetry for toric Calabi-Yau manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Boston University Nai-Chung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1702.10002

J. Differential Geom., 90, (2), 177-250, 2012
[ Download ] [ 2017-02-13 23:43:57 uploaded by scllouis ] [ 881 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] On SYZ mirror transformations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10007

Adv. Stud. Pure Math., 59, 2010.8
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[24] 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
[ Download ] [ 2017-04-25 17:20:12 uploaded by kwchan ] [ 814 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] 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
[ Download ] [ 2016-08-17 12:10:57 uploaded by kwchan ] [ 806 downloads ] [ 0 comments ] [ Cited by 7 ] [ Abstract ] [ Full ]
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