9 citations · 14 across the 6 of their papers we have counts for
5 papers · 1 filter
On mutation invariance in Khovanov homology
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
We show that reduced Khovanov homology over any field is invariant under component-preserving Conway mutation. Our proof relies on strong geography restrictions for a certain Khova…
Khovanov homology and refined bounds for Gordian distances
Lukas Lewark, Laura Marino, Claudius Zibrowius
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 invarian…
Khovanov multicurves are linear
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
In previous work we introduced a Khovanov multicurve invariant associated with Conway tangles. Applying ideas from homological mirror symmetry we sh…
Khovanov invariants via Fukaya categories: the tangle invariants agree
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
Given a pointed 4-ended tangle , there are two Khovanov theoretic tangle invariants, $\unicode{1044}_1(T)$ from [arXiv:1910.1458] and from [arXiv:1808.06957],…
Immersed curves in Khovanov homology
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
We give a geometric interpretation of Bar-Natan's universal invariant for the class of tangles in the 3-ball with four ends: we associate with such 4-ended tangles multicurves…