Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

Towards isomorphisms among Floer homologies

Fan Ye, Department of Mathematics, 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 based on combinatorial version of Floer homology. This work is joint with Baldwin, Li, and Sivek.

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