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arXiv · 2409.05743

Khovanov homology and refined bounds for Gordian distances

Lukas Lewark·Laura Marino·Claudius Zibrowius
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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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Lukas Lewark, Laura Marino, Claudius Zibrowius. 2026-09-17. Khovanov homology and refined bounds for Gordian distances. https://arxiv.org/abs/2409.05743

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