Contents Online

# Advances in Theoretical and Mathematical Physics

## Volume 23 (2019)

### Number 3

### Some applications of the mirror theorem for toric stacks

Pages: 767 – 802

DOI: https://dx.doi.org/10.4310/ATMP.2019.v23.n3.a4

#### Authors

#### Abstract

We use the mirror theorem for toric Deligne–Mumford stacks, proved recently by the authors and by Cheong–Ciocan-Fontanine–Kim, to compute genus-zero Gromov–Witten invariants of a number of toric orbifolds and gerbes. We prove a mirror theorem for a class of complete intersections in toric Deligne–Mumford stacks, and use this to compute genus-zero Gromov–Witten invariants of an orbifold hypersurface.

Published 4 December 2019