Mutation (and the linearity of multicurves) in Khovanov homology
Liam Watson (University of British Columbia)
Monday 24th November 15:00-16:00
Maths 311B
Abstract
The fact that Khovanov homology, when working modulo 2, is invariant under mutation has been known for some time and now has several different proofs. I will discuss the apparent sensitivity to signs, and a proof that the reduced Khovanov invariant is identical for two knots related by mutation, working over any field. A key part of this makes a surprising appeal to homological mirror symmetry, and my goal will be to describe this part of the story. This is part of a joint poject with Artem Kotelskiy and Claudius Zibrowius.
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