Virtual neighborhood technique for moduli spaces of holomorphic curves

被引：0

作者：

An-Min Li

Li Sheng

机构：

[1] Sichuan University,College of Mathematics

来源：

Science China Mathematics | 2021年 / 64卷

关键词：

virtual neighborhood technique; holomorphic curves; Gromov-Witten invariants; exponential decay estimates; 53D35; 53D45; 57R17;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use the technique of Ruan (1999) and Li and Ruan (2001) to construct the virtual neighborhoods and show that the Gromov-Witten invariants can be defined as integrals over the top strata of the virtual neighborhoods. We prove that the invariants defined in this way satisfy all the axioms of Gromov-Witten invariants summarized by Kontsevich and Manin (1994).

引用

页码：1505 / 1562

页数：57

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