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Towards isomorphisms among Floer homologies

Topology Seminar
February 29, 2024
1:50PM - 2:50PM
MW 152

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Add to Calendar 2024-02-29 13:50:00 2024-02-29 14:50:00 Towards isomorphisms among Floer homologies Title:  Towards isomorphisms among Floer homologiesSpeaker:  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 MW 152 Department of Mathematics math@osu.edu America/New_York public

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

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