Some applications of the mirror theorem for toric stacks

DOI DOI HANDLE
  • Tom Coates
    Department of Mathematics, Imperial College London, United Kingdom
  • Alessio Corti
    Department of Mathematics, Imperial College London, United Kingdom
  • Hiroshi Iritani
    Department of Mathematics, Graduate School of Science, Kyoto University, Sakyo-ku, Kyoto, Japan
  • Hsian-Hua Tseng
    Department of Mathematics, Ohio State University, Columbus, Oh., U.S.A.

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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.

23 pages. v2: main result strengthened, references updated

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