Towards isomorphisms among Floer homologies

Name: Towards isomorphisms among Floer homologies
Start: 2023-09-15T15:30:00-04:00
End: 2023-09-15T16:30:00-04:00
Location: Science Center 507

SEMINARS: GAUGE THEORY AND TOPOLOGY

When: September 15, 2023

3:30 pm - 4:30 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Fan Ye - Harvard University

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 introduce an approach to proving the isomorphisms and mention some partial results, based on combinatorial version of Floer homology. This work is joint with Baldwin, Li, and Sivek.