Thursday March 23rd, 2023 | |
| Time: | 1:00 PM - 2:30 PM |
| Title: | Instanton Floer homology and Heegaard diagrams |
| Speaker: | Zhenkun Li, Stanford |
| Location: | Math 4-130 |
| Abstract: | |
| Instanton Floer homology was introduced by Floer in the 1980s and has become a power invariant for three manifolds and knots since then. It has led to many milestone results, such as the approval of Property P conjecture. Heegaard diagrams, on the other hand, is a combinatorial method 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 explain some of the applications and future directions of this work. This is a joint work with Baldwin and Ye. | |