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2021 The theory of $N$–mixed-spin-$P$ fields
Huai-Liang Chang, Shuai Guo, Jun Li, Wei-Ping Li
Geom. Topol. 25(2): 775-811 (2021). DOI: 10.2140/gt.2021.25.775

Abstract

This is the first part of our project toward proving the Bershadsky–Cecotti–Ooguri–Vafa Feynman graph sum formula of all genera Gromov–Witten invariants of quintic Calabi–Yau threefolds. We introduce the notion of N–mixed-spin-P fields, construct their moduli spaces, their virtual cycles and their virtual localization formulas, and obtain a vanishing result associated with irregular graphs.

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Huai-Liang Chang. Shuai Guo. Jun Li. Wei-Ping Li. "The theory of $N$–mixed-spin-$P$ fields." Geom. Topol. 25 (2) 775 - 811, 2021. https://doi.org/10.2140/gt.2021.25.775

Information

Received: 21 August 2019; Revised: 13 April 2020; Accepted: 20 May 2020; Published: 2021
First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.2140/gt.2021.25.775

Subjects:
Primary: 14D23 , 14J33 , 14N35

Keywords: cosection localization , Gromov–Witten , high genus , mirror symmetry , mixed-spin-$P$ fields

Rights: Copyright © 2021 Mathematical Sciences Publishers

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