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10 paper(s) uploaded by jiespst.

Index	Title	Upload Time	Modified Time
1	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 ] [ 1252 downloads ] [ 0 comments ] Abstract × We prove the Landau-Ginzburg/Calabi-Yau correspondence between the Gromov-Witten theory of each elliptic orbifold curve and its Fan-Jarvis-Ruan-Witten theory counterpart via modularity. We show that the correlation functions in these two enumerative theories are different representations of the same set of quasi-modular forms, expanded around different points on the upper-half plane. We relate these two representations by the Cayley transform. OK [ Abstract ] [ Full ] Please log in for comment!	2016-08-17 20:22:00	2016-08-18 01:41:55
2	GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities Jie Zhou Perimeter Institute Classical Analysis and ODEs mathscidoc:1608.05001 2016.6 [ Download ] [ 2016-08-21 20:45:16 uploaded by jiespst ] [ 1701 downloads ] [ 0 comments ] Abstract × The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period integrals. In this work we give different realizations and interpretations of the extra solution, in terms of oscillating integral, Eichler integral, chain integral on the elliptic curve, limit of a period of a certain compact Calabi-Yau threefold geometry, etc. We also highlight the role played by the orbifold singularity on the moduli space and its relation to the GKZ system. OK [ Abstract ] [ Full ] Please log in for comment!	2016-08-21 20:45:16	2016-08-21 20:45:35
3	Mirror Symmetry for Plane Cubics Revisited Jie Zhou Perimeter Institute Mathematical Physics mathscidoc:1608.22009 2016.5 [ Download ] [ 2016-08-21 20:48:37 uploaded by jiespst ] [ 1590 downloads ] [ 0 comments ] Abstract × In this expository note we discuss some arithmetic aspects of the mirror symmetry for plane cubic curves. We also explain how the Picard-Fuchs equation can be used to reveal part of these arithmetic properties. The application of Picard-Fuchs equations in studying the genus zero Gromov-Witten invariants of more general Calabi-Yau varieties and the Weil-Petersson geometry on their moduli spaces will also be discussed. OK [ Abstract ] [ Full ] Please log in for comment!	2016-08-21 20:48:37	-
4	Lectures on BCOV Holomorphic Anomaly Equations Atsushi Kanazawa Department of Mathematics, University of Tokyo Jie Zhou Department of Mathematics, Harvard University arXiv subject: Mathematical Physics (math-ph) mathscidoc:2204.54001 Fields Institute Monographs, 34, 2015.1 [ Download ] [ 2022-04-14 10:10:30 uploaded by jiespst ] [ 443 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:10:30	-
5	Polynomial Structure of Topological String Partition Functions Jie Zhou Department of Mathematics, Harvard University arXiv subject: Mathematical Physics (math-ph) mathscidoc:2204.54002 Fields Institute Monographs, 34, 2015.1 [ Download ] [ 2022-04-14 10:12:01 uploaded by jiespst ] [ 388 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:12:01	-
6	Ramanujan Identities and Quasi-Modularity in Gromov-Witten Theory Yefeng Shen Department of Mathematics, Stanford University Jie Zhou Perimeter Institute for Theoretical Physics arXiv subject: Algebraic Geometry (math.AG) mathscidoc:2204.57001 Communications in Number Theory and Physics, 11, (2), 2017.8 [ Download ] [ 2022-04-14 10:15:27 uploaded by jiespst ] [ 416 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:15:27	-
7	Genus one GW invariants of quintic threefolds via MSP localization Huai-Liang Chang Mathematics Department, Hong Kong University of Science and Technology Shuai Guo School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University Wei-Ping Li Mathematics Department, Hong Kong University of Science and Technology Jie Zhou Mathematical Institute, University of Cologne Algebraic Geometry mathscidoc:2204.45001 International Mathematics Research Notices, 2020, (19), 2020.10 [ Download ] [ 2022-04-14 10:18:42 uploaded by jiespst ] [ 918 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:18:42	-
8	Open Gromov-Witten Theory of KP2, KP1×P1, KWP[1,1,2], KF1 and Jacobi Forms Bohan Fang Beijing International Center for Mathematical Research, Peking University Yongbin Ruan Department of Mathematics, University of Michigan Yingchun Zhang Department of Mathematics, University of Michigan Jie Zhou Yau Mathematical Sciences Center, Tsinghua University Algebraic Geometry mathscidoc:2204.45002 Commun. Math. Phys., 369, 2019.5 [ Download ] [ 2022-04-14 10:22:31 uploaded by jiespst ] [ 1244 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:22:31	-
9	Generating functions of planar polygons from homological mirror symmetry of elliptic curves Kathrin Bringmann Department of Mathematics and Computer Science，University of Cologne Jonas Kaszian Max-Planck-Institut fur Mathematik Jie Zhou Yau Mathematical Sciences Center, Tsinghua University Number Theory mathscidoc:2204.24001 Research in Number Theory, 6, (28), 2020.6 [ Download ] [ 2022-04-14 10:25:21 uploaded by jiespst ] [ 575 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:25:21	-
10	Regularized Integrals on Riemann Surfaces and Modular Forms Si Li Yau Mathematical Sciences Center, Tsinghua University Jie Zhou Yau Mathematical Sciences Center, Tsinghua University Mathematical Physics mathscidoc:2204.22001 Commun. Math. Phys., 388, 2021.9 [ Download ] [ 2022-04-14 10:27:23 uploaded by jiespst ] [ 687 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2022-04-14 10:27:23	-

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