26 citations · 231 across the 27 of their papers we have counts for
30 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 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…
Cosmetic operations and Khovanov multicurves
Artem Kotelskiy, Tye Lidman, Allison H. Moore +2
We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invar…
Thin links and Conway spheres
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
When restricted to alternating links, both Heegaard Floer and Khovanov homology concentrate along a single diagonal -grading. This leads to the broader class of thin links that…
Khovanov homology and strong inversions
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
There is a one-to-one correspondence between strong inversions on knots in the three-sphere and a special class of four-ended tangles. We compute the reduced Khovanov homology of s…
A mnemonic for the Lipshitz-Ozsváth-Thurston correspondence
Artem Kotelskiy, Liam Watson, Claudius Zibrowius
When is a field, type D structures over the algebra are equivalent to immersed curves decorated with local systems in the twice-punctured disk.…