Mathematics

[8501] On the formation of shocks for quasilinear wave equations

Shuang Miao University of Michigan Pin Yu Tsinghua University

Analysis of PDEs mathscidoc:1608.03001

Distinguished Paper Award in 2017

[ Download ] [ 2016-08-17 22:17:13 uploaded by pinyu ] [ 790 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[8502] Gromov-Hausdorff limits of Kahler manifolds and the finite generation conjecture

Gang Liu Northwestern University

Differential Geometry mathscidoc:1608.10012

Distinguished Paper Award in 2018

[ Download ] [ 2016-08-17 21:19:08 uploaded by gangliu ] [ 781 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8503] LG/CY Correspondence for Elliptic Orbifold Curves via Modularity

Yefeng Shen Stanford University Jie Zhou Perimeter Institute

Mathematical Physics mathscidoc:1608.22001

[ Download ] [ 2016-08-17 20:22:00 uploaded by jiespst ] [ 728 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8504] 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 ] [ 623 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8505] 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
[ Download ] [ 2016-08-17 12:33:03 uploaded by kwchan ] [ 579 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[8506] 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 ] [ 385 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[8507] 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
[ Download ] [ 2016-08-17 12:30:36 uploaded by kwchan ] [ 796 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8508] 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
[ Download ] [ 2016-08-17 12:28:30 uploaded by kwchan ] [ 458 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8509] 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
[ Download ] [ 2016-08-17 12:26:26 uploaded by kwchan ] [ 832 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8510] 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
[ Download ] [ 2016-08-17 12:24:57 uploaded by kwchan ] [ 636 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8511] 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
[ Download ] [ 2016-08-17 12:22:40 uploaded by kwchan ] [ 465 downloads ] [ 0 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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[8512] 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
[ Download ] [ 2016-08-17 12:20:30 uploaded by kwchan ] [ 1058 downloads ] [ 0 comments ] [ Cited by 23 ] [ Abstract ] [ Full ]
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[8513] 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
[ Download ] [ 2016-08-17 12:17:23 uploaded by kwchan ] [ 824 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8514] 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
[ Download ] [ 2016-08-17 12:14:43 uploaded by kwchan ] [ 499 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8515] 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
[ Download ] [ 2016-08-17 12:13:10 uploaded by kwchan ] [ 457 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8516] 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 ] [ 569 downloads ] [ 0 comments ] [ Cited by 7 ] [ Abstract ] [ Full ]
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[8517] 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
[ Download ] [ 2016-08-17 12:08:31 uploaded by kwchan ] [ 717 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[8518] 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
[ Download ] [ 2016-08-17 12:06:01 uploaded by kwchan ] [ 466 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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[8519] 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
[ Download ] [ 2016-08-17 12:04:12 uploaded by kwchan ] [ 1040 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8520] 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
[ Download ] [ 2016-08-17 12:02:45 uploaded by kwchan ] [ 1836 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8521] 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
[ Download ] [ 2016-08-17 12:01:15 uploaded by kwchan ] [ 1253 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8522] 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
[ Download ] [ 2016-08-17 11:58:54 uploaded by kwchan ] [ 515 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8523] 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
[ Download ] [ 2016-08-17 11:55:08 uploaded by kwchan ] [ 491 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8524] 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
[ Download ] [ 2016-08-17 11:52:02 uploaded by kwchan ] [ 836 downloads ] [ 0 comments ] [ Cited by 7 ] [ Abstract ] [ Full ]
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[8525] A Proof of the Yau Geometric Conjecture in 6 Dimensions

Sarvasva Raghuvanshi University of Illinois at Chicago

S.-T. Yau High School Science Awarded Papers mathscidoc:1608.35133

Dongrun-Yau Science Award, 2015.11
[ Download ] [ 2016-08-13 21:51:59 uploaded by yauawardadmin ] [ 658 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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