Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	李振坤博士,斯坦福大学
Inviter:
Title:	Instanton Floer homology and Heegaard diagrams
Language:	Chinese
Time & Venue:	2023.02.22 10:30-11:30 南楼N933 腾讯会议：513-672-672 密码 : 0222
Abstract:	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.