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Mirror theorems for root stacks and relative pairs

Honglu Fan ETH-Zurich Hsian-Hua Tseng Ohio State University Fenglong You University of Alberta

mathscidoc:1907.01006

Selecta Mathematica, 25, (4), 54, 2019.10
Given a smooth projective variety X with a smooth nef divisor D and a positive integer r, we construct an I-function, an explicit slice of Givental's Lagrangian cone, for Gromov--Witten theory of the root stack X_{D,r}. As an application, we also obtain an I-function for relative Gromov--Witten theory following the relation between relative and orbifold Gromov--Witten invariants.
Gromov-Witten invariants, mirror symmetry, root stacks
[ Download ] [ 2019-07-03 22:32:48 uploaded by tseng ] [ 949 downloads ] [ 0 comments ] 
@inproceedings{honglu2019mirror,
  title={Mirror theorems for root stacks and relative pairs},
  author={Honglu Fan, Hsian-Hua Tseng, and Fenglong You},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190703223248910978396},
  booktitle={Selecta Mathematica},
  volume={25},
  number={4},
  pages={54},
  year={2019},
}
Honglu Fan, Hsian-Hua Tseng, and Fenglong You. Mirror theorems for root stacks and relative pairs. 2019. Vol. 25. In Selecta Mathematica. pp.54. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190703223248910978396.
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