English

Genus one GW invariants of quintic threefolds via MSP localization

Algebraic Geometry 2021-09-21 v1

Abstract

The moduli stack of Mixed Spin P-fields (MSP) provides an effective algorithm to evaluate all genus Gromov-Witten invariants of quintic Calabi-Yau threefolds. This paper is to apply the algorithm in genus one case. We use the localization formula, the proposed algorithm in [CLLL1, CLLL2], and Zinger's packaging technique to compute the genus one Gromov-Witten invariants of quintic Calabi-Yau threefolds. New hypergeometric series identities are also discovered in the process.

Keywords

Cite

@article{arxiv.1711.10118,
  title  = {Genus one GW invariants of quintic threefolds via MSP localization},
  author = {Huai-Liang Chang and Shuai Guo and Wei-Ping Li and Jie Zhou},
  journal= {arXiv preprint arXiv:1711.10118},
  year   = {2021}
}