The Bar-Natan homology and unknotting number

Published 22 Oct 2017 in math.GT | (1710.07874v1)

Abstract: We show that the order of torsion homology classes in Bar-Natan deformation of Khovanov homology is a lower bound for the unknotting number. We give examples of knots that this is a better lower bound than |s(K)/2|, where s(K) is the Rasmussen s invariant defined by the Bar-Natan spectral sequence.

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Authors (1)

Akram Alishahi

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