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A mirror theorem for toric stacks
| File | Description | Size | Format | |
|---|---|---|---|---|
 S0010437X15007356a.pdf | Published version | 735.79 kB | Adobe PDF | View/Open |
| Title: | A mirror theorem for toric stacks |
| Authors: | Coates, T Corti, A Iritani, H Tseng, HH |
| Item 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. |
| Issue Date: | 1-Oct-2015 |
| Date of Acceptance: | 2-Oct-2014 |
| URI: | http://hdl.handle.net/10044/1/24475 |
| DOI: | 10.1112/S0010437X15007356 |
| 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. |
| Sponsor/Funder: | 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) |
| Funder's Grant Number: | 240123 UF090056 516002.K5822/kk MATH_P36759 EP/E022162/1 EP/I008128/1 EP/G06170X/1 |
| Keywords: | 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 |
| Online Publication Date: | 2015-06-01 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |
This item is licensed under a Creative Commons License
