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Some Applications of the Mirror Theorem for Toric Stacks

Tom Coates Imperial College London Alessio Corti Imperial College London Hiroshi Iritani Kyoto University Hsian-Hua Tseng Ohio State University

Algebraic Geometry mathscidoc:1801.01005

Advances in Theoretical and Mathematical Physics, 23, (3), 767--802, 2019
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.
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@inproceedings{tom2019some,
  title={Some Applications of the Mirror Theorem for Toric Stacks},
  author={Tom Coates, Alessio Corti, Hiroshi Iritani, and Hsian-Hua Tseng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180104233929752855870},
  booktitle={Advances in Theoretical and Mathematical Physics},
  volume={23},
  number={3},
  pages={767--802},
  year={2019},
}
Tom Coates, Alessio Corti, Hiroshi Iritani, and Hsian-Hua Tseng. Some Applications of the Mirror Theorem for Toric Stacks. 2019. Vol. 23. In Advances in Theoretical and Mathematical Physics. pp.767--802. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180104233929752855870.
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