Genus one GW invariants of quintic threefolds via MSP localization
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2017
- DOI:
- arXiv:
- arXiv:1711.10118
- Bibcode:
- 2017arXiv171110118C
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14N35;
- 14J33
- E-Print:
- International Mathematics Research Notices, Volume 2020, Issue 19, October 2020, Pages 6421-6462