A mirror theorem for toric stacks

Abstract

We prove a Givental-style mirror theorem for toric Deligne–Mumford stacks${\mathcal{X}}$. This determines the genus-zero Gromov–Witten invariants of${\mathcal{X}}$in terms of an explicit hypergeometric function, called the$I$-function, that takes values in the Chen–Ruan orbifold cohomology of${\mathcal{X}}$.