基于Kuranishi结构的Gromov-Witten理论
辛几何
2017-01-27 v1 代数几何
摘要
在这篇综述性稿件中，我们回顾了通过FOOO的Kuranishi结构理论，为定义在闭黎曼曲面上的伪全纯映射模空间构造Gromov-Witten虚基本类。我们考虑来自环境空间和Deligne-Mumford模空间的约束，称为初级插入，以及内在类如-类和Hodge类。
引用
@article{arxiv.1701.07821,
title = {Gromov-Witten theory via Kuranishi structures},
author = {Mohammad Farajzadeh Tehrani and Kenji Fukaya},
journal= {arXiv preprint arXiv:1701.07821},
year = {2017}
}
备注
This article is based on the original article of Fukaya-Ono and subsequent articles of Fukaya-Oh-Ohta-Ono and covers the relevant parts of their theory of Kuranishi structures that is needed to define Gromov-Witten VFC. Proof of the gluing theorem and related estimates are not included