拓扑研讨班:Instanton Floer homology and Heegaard diagrams

中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人： 李振坤 博士（斯坦福大学）

题  目：Instanton Floer homology and Heegaard diagrams

时  间：2023.02.22（星期三），10:30-11:30

地  点：数学院南楼N933 腾讯会议：513-672-672密码 : 0222

摘  要：Instanton Floer homology was introduced by Floer in 1980s and has become a power invariants for three manifolds and knots since then. It has lead to many milestone results, such as the approval of Property P conjecture. Heegaard diagrams, on the other hand, is a combinatorial methods to describe 3-manifolds. In principle, Heegaard diagrams determine 3-manifolds and hence determine their instanton Floer homology as well. However, no explicit relations between these two objects were known before. In this talk, for a 3-manifold Y, I will talk about how to extract some information about the instanton Floer homology of Y from the Heegaard diagrams of Y. Additionally, I will explore some of the applications and future directions of this work. This is a joint work with Baldwin and Ye.