6 citations · 29 across the 11 of their papers we have counts for
13 papers
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…
A Rasmussen invariant for links in
Ciprian Manolescu, Michael Willis
Asaeda-Przytycki-Sikora, Manturov, and Gabrovšek extended Khovanov homology to links in . We construct a Lee-type deformation of their theory, and use it to define a…
Towards an action on the annular Khovanov spectrum
Rostislav Akhmechet, Vyacheslav Krushkal, Michael Willis
Given a link in the thickened annulus, its annular Khovanov homology carries an action of the Lie algebra , which is natural with respect to annular link cobordism…
Stable homotopy refinement of quantum annular homology
Rostislav Akhmechet, Vyacheslav Krushkal, Michael Willis
We construct a stable homotopy refinement of quantum annular homology, a link homology theory introduced by Beliakova, Putyra and Wehrli. For each we associate to an annu…
A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds
Ciprian Manolescu, Marco Marengon, Sucharit Sarkar +1
We extend the definition of Khovanov-Lee homology to links in connected sums of 's, and construct a Rasmussen-type invariant for null-homologous links in these mani…
Khovanov-Rozansky homology for infinite multi-colored braids
Michael Willis
We define a limiting Khovanov-Rozansky homology for semi-infinite positive multi-colored braids, and we show that this limiting homology categorifies a highest-we…