Volume 20, issue 2 (2020)

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Ribbon distance and Khovanov homology

Sucharit Sarkar

Algebraic & Geometric Topology 20 (2020) 1041–1058
Abstract

We study a notion of distance between knots, defined in terms of the number of saddles in ribbon concordances connecting the knots. We construct a lower bound on this distance using the $X$–action on Lee’s perturbation of Khovanov homology.

Keywords
Khovanov homology, ribbon concordance
Primary: 57M25