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.

References in corpus (1)

• Mixed-Spin-P fields of Fermat quintic polynomials

Cited by in corpus (2)

• On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds
• Towards a quantum Lefschetz hyperplane theorem in all genera