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] 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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[12] 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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[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] 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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[15] 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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[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
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[20] 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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[21] 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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[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
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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
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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
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[26] 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

Distinguished Paper Award in 2017

Duke Math. J., 166, (8), 1405-1462, 2017.6
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[27] 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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[28] Geometry of the Maurer-Cartan equation near degenerate Calabi-Yau varieties

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Ziming Nikolas Ma Southern University of Science and Technology

Algebraic Geometry mathscidoc:1905.01002

J. Differential Geom., 125, (1), 1-84, 2023.9
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[29] A Frolicher-type inequality for generalized complex manifolds

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

Differential Geometry mathscidoc:1608.10004

Ann. Global Anal. Geom., 47, (2), 135-145, 2015
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[30] Tropical counting from asymptotic analysis on Maurer-Cartan equations

Ziming Nikolas Ma The Chinese University of Hong Kong Kwokwai Chan The Chinese University of Hong Kong

Algebraic Geometry mathscidoc:1808.01001

Transactions of the American Mathematical Society, 373, 6411-6450, 2020.6
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[31] 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 Boston University Hsian-Hua Tseng Ohio State Unviersity

Differential Geometry mathscidoc:1610.10014

Journal of Differential Geometry, 103, 207-288, 2016
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[32] 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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[33] 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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[34] Open Gromov-Witten invariants and superpotentials for semi-Fano toric surfaces

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

mathscidoc:1702.01011

Int Math Res Notices, 3759-3789, 2013
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[35] 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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[36] Smoothing pairs over degenerate Calabi-Yau varieties

Kwokwai Chan The Chinese University of Hong Kong Ziming Nikolas Ma The Chinese University of Hong Kong

Algebraic Geometry mathscidoc:2002.45001

Int. Math. Res. Not. IMRN, 2022, (4), 2582–2614, 2022.2
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[37] Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces

Kwokwai Chan The Chinese University of Hong Kong Ziming Nikolas Ma Southern University of Science and Technology Yat-Hin Suen IBS Center for Geometry and Physics

Algebraic Geometry mathscidoc:2009.45001

Advances in Mathematics, 401, 108280, 2022.6
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[38] 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

Pure Appl. Math. Q., 16, (3), 675-720, 2020.7
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[39] Kapranov's L∞ structures, Fedosov's star products and one-loop exact BV quantizations on Kähler manifolds

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:2009.29001

Commun. Number Theory Phys., 16, (2), 299-351, 2022.4
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[40] 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., 146, 103489, 2019.12
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[41] Holomorphic line bundles on projective toric manifolds from Lagrangian sections of their mirrors by SYZ transformations

Kwokwai Chan Harvard University

Differential Geometry mathscidoc:1608.10009

Int. Math. Res. Not. IMRN, 2009, (24), 2009.7
[ Download ] [ 2016-08-17 12:31:39 uploaded by kwchan ] [ 625 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[42] A note on disk counting in toric orbifolds

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

Symplectic Geometry mathscidoc:1905.01001

SIGMA, 16, 055, 2020.6
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[43] A geometric construction of representations of the Berezin-Toeplitz 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

Mathematical Physics Quantum Algebra mathscidoc:2002.22001

Advances in Theoretical and Mathematical Physics, 26, (1), 2022.1
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[44] Quantization of Kähler manifolds

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

Differential Geometry mathscidoc:2009.10002

J. Geom. Phys., 163, 104143, 2021.5
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[45] Bargmann-Fock sheaves on Kähler manifolds

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

Differential Geometry mathscidoc:2009.10001

Comm. Math. Phys., 388, (3), 1297-1322, 2021.12
[ Download ] [ 2020-09-09 12:07:39 uploaded by kwchan ] [ 594 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[46] From deformation theory to tropical geometry

Kwokwai Chan The Chinese University of Hong Kong

Algebraic Geometry mathscidoc:2204.45032

Proceedings of the Eighth International Congress of Chinese Mathematicians, 2022.2
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[47] Smoothing, scattering, and a conjecture of Fukaya

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Ziming Nikolas Ma Southern University of Science and Technology

Algebraic Geometry mathscidoc:2205.45014

[ Download ] [ 2022-05-20 10:16:59 uploaded by kwchan ] [ 521 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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