A Mirror Theorem for Toric Stacks
Algebraic Geometry
2015-10-28 v5
Abstract
We prove a Givental-style mirror theorem for toric Deligne--Mumford stacks X. This determines the genus-zero Gromov--Witten invariants of X in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen--Ruan orbifold cohomology of X.
Cite
@article{arxiv.1310.4163,
title = {A Mirror Theorem for Toric Stacks},
author = {Tom Coates and Alessio Corti and Hiroshi Iritani and Hsian-Hua Tseng},
journal= {arXiv preprint arXiv:1310.4163},
year = {2015}
}
Comments
35 pages. v2: key references added. v3: errors corrected; formal setup changed; proofs simplified, clarified, and shortened; references added. v4: references updated. v5: references updated