Thu, February 29, 2024
1:50 pm - 2:50 pm
MW 152
Title: Towards isomorphisms among Floer homologies
Speaker: Fan Ye (Harvard University)
Abstract: Since Floer's work in 1988, various Floer homologies have been constructed for closed 3-manifolds, knots, and sutured manifolds. In 2008, Kronheimer-Mrowka proposed a conjecture about isomorphisms among Floer homologies. In this talk, I will first introduce the history of the construc- tions in Floer theory and then introduce an approach to proving the isomorphisms. The idea is based on a combinatorial version of Floer homology, which leads to an axiomatic construction of Floer homology. This work is joint with Baldwin, Li, and Sivek.
URL associated with Seminar: https://sites.google.com/view/topoandggt/home