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Towards isomorphisms among Floer homologies

Event Type
Seminar/Symposium
Sponsor
Groups, Geometry, and Topology Seminar
Location
G-20 LCLB (formerly FLB)
Date
Oct 26, 2023   12:00 - 12:50 pm  
Speaker
Fan Ye (Harvard)
Views
51
Originating Calendar
Groups, Geometry, and Topology Calendar

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 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.

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