Yang Zhou:A generalization of mixed-spin-P fields

Abstract. The theory of Mixed-Spin fields was introduced by Chang-Li-Li-Liu for the quintic threefold. Chang-Guo-Li has successfully applied it to prove famous conjectures on the higher-genus Gromov-Witten invariants. In this talk I will explain a generalization of the construction to more spaces. The key is the stability condition which guarantees the separatedness and properness of certain moduli spaces. It also generalizes the construction of the mathematical Gauged Linear Sigma Model by Fan-Jarvis-Ruan, removing their technique assumption about good lifitings.

This is a joint work with Huai-Liang Chang, Shuai Guo, Jun Li and Wei-Ping Li.