Hypertoric geometry and Gromov-Witten theory

Yungfeng Jiang University of Kansas Hsian-Hua Tseng Ohio State University


Journal of Geometry and Physics, 126, 101--126, 2018.3
We study Gromov-Witten theory of hypertoric Deligne-Mumford stacks from two points of view. From the viewpoint of representation theory, we calculate the operator of small quantum product by a divisor, following \cite{BMO}, \cite{MO}, \cite{MS}. From the viewpoint of Lawrence toric geometry, we compare Gromov-Witten invariants of a hypertoric Deligne-Mumford stack with those of its associated Lawrence toric stack.
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  title={Hypertoric geometry and Gromov-Witten theory},
  author={Yungfeng Jiang, and Hsian-Hua Tseng},
  booktitle={Journal of Geometry and Physics},
Yungfeng Jiang, and Hsian-Hua Tseng. Hypertoric geometry and Gromov-Witten theory. 2018. Vol. 126. In Journal of Geometry and Physics. pp.101--126. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180104232617509230868.
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