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The
theory of $N$–mixed-spin-$P$ fields
Huai-Liang Chang, Shuai Guo, Jun Li and Wei-Ping Li |
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Geometry & Topology 25 (2021) 775–811
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Abstract |
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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 –mixed-spin- 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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Keywords
Gromov–Witten, mirror symmetry, high genus, mixed-spin-$P$
fields, cosection localization
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Mathematical Subject Classification 2010
Primary: 14D23, 14J33, 14N35
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References |
Publication
Received: 21 August 2019
Revised: 13 April 2020
Accepted: 20 May 2020
Published: 27 April 2021
Proposed: Jim Bryan
Seconded: Gang Tian, Dan Abramovich
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Authors |
| Huai-Liang Chang | |
| Department of Mathematics Hong Kong University of Science and Technology Clear Water Bay Kowloon Hong Kong |
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| Shuai Guo | |
| School of Mathematical Sciences and
Beijing International Center for Mathematical Research Peking University Haidian Beijing China |
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| Jun Li | |
| Shanghai Center for Mathematical
Sciences Fudan University Shanghai China |
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| Wei-Ping Li | |
| Department of Mathematics Hong Kong University of Science and Technology Clear Water Bay Kowloon Hong Kong |
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