Advances in Theoretical and Mathematical Physics
Volume 23 (2019)
Some applications of the mirror theorem for toric stacks
Pages: 767 – 802
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