A mirror theorem for toric stacks
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Published version
Author(s)
Coates, T
Corti, A
Iritani, H
Tseng, HH
Type
Journal Article
Abstract
© The Authors 2015. We prove a Givental-style mirror theorem for toric Deligne-Mumford stacks χ. This determines the genus-zero Gromov-Witten invariants of χ in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen-Ruan orbifold cohomology of χ.
Date Issued
2015-10-01
Date Acceptance
2014-10-02
Citation
Compositio Mathematica, 2015, 151 (10), pp.1878-1912
ISSN
0010-437X
Publisher
Cambridge University Press (CUP)
Start Page
1878
End Page
1912
Journal / Book Title
Compositio Mathematica
Volume
151
Issue
10
Copyright Statement
This journal is © Foundation Compositio Mathematica 2015. This article is distributed with Open Access under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided that the original work is properly cited.
License URL
Sponsor
Commission of the European Communities
The Royal Society
The Royal Society
The Leverhulme Trust
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
240123
UF090056
516002.K5822/kk
MATH_P36759
EP/E022162/1
EP/I008128/1
EP/G06170X/1
Subjects
Science & Technology
Physical Sciences
Mathematics
Gromov-Witten theory
toric Deligne-Mumford stacks
orbifolds
quantum cohomology
mirror symmetry
Givental's symplectic formalism
hypergeometric functions
GROMOV-WITTEN THEORY
QUANTUM RIEMANN-ROCH
ORBIFOLD CHOW RING
GW THEORY
D-MODULES
COHOMOLOGY
RESOLUTIONS
LEFSCHETZ
math.AG
math.AG
14N35 (Primary) 14A20, 53D45, 83E30 (Secondary)
0101 Pure Mathematics
General Mathematics
Publication Status
Published
Date Publish Online
2015-06-01