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Ribbon distance and Khovanov homology

Sucharit Sarkar
Algebraic & Geometric Topology 20 (2020) 1041–1058
DOI: 10.2140/agt.2020.20.1041
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
Mathematical Subject Classification 2010
Primary: 57M25
References
Publication
Received: 4 June 2019
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