Ribbon distance and Khovanov homology

Sarkar, Sucharit

doi:10.2140/agt.2020.20.1041

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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

Volume 20, issue 2 (2020)