Geodesic
The theory of N–mixed-spin-P fields
Chang, Huai-Liang1 ; Guo, Shuai2 ; Li, Jun3 ; Li, Wei-Ping1
1 Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2 School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University, Haidian, Beijing, China
3 Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China
Geometry & topology, Tome 25 (2021) no. 2, pp. 775-811.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2021.25.775
Classification : 14D23, 14J33, 14N35
Keywords: Gromov–Witten, mirror symmetry, high genus, mixed-spin-$P$ fields, cosection localization

Chang, Huai-Liang 1 ; Guo, Shuai 2 ; Li, Jun 3 ; Li, Wei-Ping 1

1 Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2 School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University, Haidian, Beijing, China
3 Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China 
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Chang, Huai-Liang; Guo, Shuai; Li, Jun; Li, Wei-Ping. The theory of N–mixed-spin-P fields. Geometry & topology, Tome 25 (2021) no. 2, pp. 775-811. doi : 10.2140/gt.2021.25.775. http://geodesic.mathdoc.fr/articles/10.2140/gt.2021.25.775/

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