9 citations · 14 across the 3 of their papers we have counts for
4 papers
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 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…