拉格朗日弗洛尔同调速览
辛几何
2017-01-10 v1
摘要
在本笔记中,我们给出拉格朗日弗洛尔同调的简要介绍,及其与Arnol'd猜想解的关系,该猜想关于哈密顿微分同胚的非退化不动点的最小数量。我们从光滑流形上临界点的基本定义开始,以勾勒莫尔斯理论的某些方面。也包括辛几何基本概念的导引,旨在理解Arnol'd猜想的表述及其与拉格朗日子流形交集的关联。
引用
@article{arxiv.1701.02293,
title = {A Quick View of Lagrangian Floer Homology},
author = {Andrés Pedroza},
journal= {arXiv preprint arXiv:1701.02293},
year = {2017}
}
备注
These lecture notes are based on a course given at the 7th. Mini Meeting on Differential Geometry held at CIMAT in February 2015