English

Hypertoric geometry and Gromov-Witten theory

Algebraic Geometry 2018-02-15 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1506.02065,
  title  = {Hypertoric geometry and Gromov-Witten theory},
  author = {Yunfeng Jiang and Hsian-Hua Tseng},
  journal= {arXiv preprint arXiv:1506.02065},
  year   = {2018}
}

Comments

36 pages, comments are welcome, revised introduction, and corrected some typos

R2 v1 2026-06-22T09:48:18.308Z