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arXiv · 1711.10118

Genus one GW invariants of quintic threefolds via MSP localization

Huai-Liang Chang·Shuai Guo·Wei-Ping Li·Jie Zhou
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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.

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Huai-Liang Chang, Shuai Guo, Wei-Ping Li, Jie Zhou. 2017-11-28. Genus one GW invariants of quintic threefolds via MSP localization. https://arxiv.org/abs/1711.10118

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