Michael Willis

most citedGenerators, relations, and homology for Ozsváth-Szabó's Kauffman-states algebras

2 citations · 2 across the 1 of their papers we have counts for

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math.GT2019

Khovanov-Rozansky homology for infinite multi-colored braids

Michael Willis

We define a limiting $sl_{N}$ Khovanov-Rozansky homology for semi-infinite positive multi-colored braids, and we show that this limiting homology categorifies a highest-we…

math.GT2019

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)…

math.GT2019★ 2 cited

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…

math.GT2018

Khovanov homology for links in $#^{r} (S^{2} \times S^{1})$

Michael Willis

We revisit Rozansky's construction of Khovanov homology for links in $S^{2} \times S^{1}$ , extending it to define Khovanov homology $K h (L)$ for links $L$ in $M^r=#^r(S^2\times S^1)$ for…

Khovanov-Rozansky homology for infinite multi-colored braids

Strands algebras and Ozsváth-Szabó's Kauffman-states functor

Generators, relations, and homology for Ozsváth-Szabó's Kauffman-states algebras

Khovanov homology for links in #r(S2×S1)

Khovanov homology for links in $#^{r} (S^{2} \times S^{1})$