The theory of N-Mixed-Spin-P fields

Huai-Liang Chang Hong Kong University of Science and Technology Shuai Guo School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University Jun Li Shanghai Center for Mathematical Sciences, Fudan University Wei-Ping Li Hong Kong University of Science and Technology

mathscidoc:1908.01014

This is the first part of the project toward proving the BCOV's Feynman graph sum formula of all genera Gromov-Witten invariants of quintic Calabi-Yau threefolds. In this paper, we introduce the notion of N-Mixed-Spin-P fields, construct their moduli spaces, their virtual cycles, their virtual localization formulas, and a vanishing result associated with irregular graphs.
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@inproceedings{huai-liangthe,
  title={The theory of N-Mixed-Spin-P fields},
  author={Huai-Liang Chang, Shuai Guo, Jun Li, and Wei-Ping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822220857349438458},
}
Huai-Liang Chang, Shuai Guo, Jun Li, and Wei-Ping Li. The theory of N-Mixed-Spin-P fields. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822220857349438458.
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