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Compressing surface diffeomorphisms via bordered Floer homology
Akram Alishahi, University of Goergia
Location: Hill 705
Date & time: Tuesday, 24 September 2024 at 4:00PM - 5:00PM
Let F be a closed surface, and psi be a diffeomorphism of F. An interesting question with nice topological implications for detecting homotopy ribbon fibered knots is whether psi extends over some handlebody with boundary F. In 1985, Casson-Long gave an algorithm for answering this question. In this talk, first we will discuss how bordered Floer homology can be used to detect whether psi extends over a specific handlebody. Then, we will outline how to adapt ideas of Casson-Long to give an algorithm using bordered Floer homology to detect whether psi extends over any compression body. This is a joint work with Robert Lipshitz.