#### 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
##### Publication
Revised: 25 July 2019
Accepted: 5 August 2019
Published: 23 April 2020
##### Authors
 Sucharit Sarkar Department of Mathematics University of California Los Angeles, CA United States