Khovanov homology and refined bounds for Gordian distances

Published 9 Sep 2024 in math.GT and math.QA | (2409.05743v1)

Abstract: From Khovanov homology, we extract a new lower bound for the Gordian distance of knots, which combines and strengthens the previously existing bounds coming from Rasmussen invariants and from torsion invariants. We also improve the bounds for the proper rational Gordian distance.

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