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
Sarkar, Sucharit  1
@article{10_2140_agt_2020_20_1041,
author = {Sarkar, Sucharit},
title = {Ribbon distance and {Khovanov} homology},
journal = {Algebraic and Geometric Topology},
pages = {1041--1058},
year = {2020},
volume = {20},
number = {2},
doi = {10.2140/agt.2020.20.1041},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2020.20.1041/}
}
Sarkar, Sucharit. Ribbon distance and Khovanov homology. Algebraic and Geometric Topology, Tome 20 (2020) no. 2, pp. 1041-1058. doi: 10.2140/agt.2020.20.1041
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