Khovanov homology and refined bounds for Gordian distances
Geometric Topology
2024-09-10 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2409.05743,
title = {Khovanov homology and refined bounds for Gordian distances},
author = {Lukas Lewark and Laura Marino and Claudius Zibrowius},
journal= {arXiv preprint arXiv:2409.05743},
year = {2024}
}
Comments
42 pages, 14 figures, 2 tables. Comments welcome