Mixed-Spin-P fields for GIT quotients
| Autor: | Chang, Huai-Liang, Guo, Shuai, Li, Jun, Li, Wei-Ping, Zhou, Yang |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The theory of Mixed-Spin-P (MSP) fields was introduced by Chang-Li-Li-Liu for the quintic threefold, aiming at studying its higher-genus Gromov-Witten invariants. Chang-Guo-Li has successfully applied it to prove conjectures on the higher-genus Gromov-Witten invariants, including the BCOV Feynman rule and Yamaguchi-Yau's polynomiality conjecture. This paper generalizes the MSP fields construction to more general GIT quotients, including global complete intersection Calabi-Yau manifolds in toric varieties. This hopefully provides a geometric platform to effectively compute higher-genus Gromov-Witten invariants for complete intersections in toric varieties. The key to our paper is a stability condition which guarantees the separatedness and properness of the cosection degeneracy locus in the moduli. It also gives a mathematical definitions for more general Landau-Ginzburg theories. Comment: 46 pages, bibliography updated |
| Databáze: | arXiv |
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