26 citations · 231 across the 27 of their papers we have counts for
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math.GT2019★ 9 cited
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…
math.GT2019★ 15 cited
Cabling in terms of immersed curves
Jonathan Hanselman, Liam Watson
In joint work with J. Rasmussen, we gave an interpretation of Heegaard Floer homology for manifolds with torus boundary in terms of immersed curves in a punctured torus. In particu…
math.GT2019★ 8 cited
A refinement of Khovanov homology
Andrew Lobb, Liam Watson
We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply-graded theory, arising from a pair of filtrations. We focus pri…