Knot cobordism and Lee's perturbation of Khovanov homology

Published 6 Jan 2022 in math.GT | (2201.01910v1)

Abstract: For a connected cobordism S between two knots K1,K2 in S3, we establish an inequality involving the number of local maxima, the genus of S, and the torsion orders of Kht(K1),Kht(K2), where Kht denotes Lee's perturbation of Khovanov homology. This shows that the torsion order gives a lower bound for the band-unlinking number.

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Zipei Zhuang

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