Symplectic annular Khovanov homology

Cheuk Yu Mak (University of Edinburgh)

Monday 8th February 16:00-17:00 Online

Abstract

 Khovanov homology is a link invariant which categorifies the Jones polynomial. Various definitions of Khovanov homology have been given by seemingly unrelated methods, including representation theory, symplectic geometry and algebraic geometry. In this talk, we will review how the symplectic version of Khovanov homology is defined. Subsequently, we will describe a distinguished Lefschetz fibration on the symplectic manifold and its associated Fukaya-Seidel category. Finally, we will give some applications on annular Khovanov homology. This is a joint work with Ivan Smith.

The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/91412568415 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).


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