6 citations · 29 across the 11 of their papers we have counts for
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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…
Strands algebras and Ozsváth-Szabó's Kauffman-states functor
Andrew Manion, Marco Marengon, Michael Willis
We define new differential graded algebras A(n,k,S) in the framework of Lipshitz-Ozsváth-Thurston's and Zarev's strands algebras from bordered Floer homology. The algebras A(n,k,S)…
Generators, relations, and homology for Ozsváth-Szabó's Kauffman-states algebras
Andrew Manion, Marco Marengon, Michael Willis
We give a generators-and-relations description of differential graded algebras recently introduced by Ozsváth and Szabó for the computation of knot Floer homology. We also compute…