Khovanov homology and refined bounds for Gordian distances
arXiv:2409.05743
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.
42 pages, 14 figures, 2 tables. v2: corresponds to the version accepted for publication in Math. Res. Lett.; editorial changes only