127 citations · 160 across the 4 of their papers we have counts for
5 papers · 1 filter
Evaluations of link polynomials and recent constructions in Heegaard Floer theory
Larry Gu, Andrew Manion
Using a definition of Euler characteristic for fractionally-graded complexes based on roots of unity, we show that the Euler characteristics of Dowlin's "-like" H…
Singular crossings and Ozsváth-Szabó's Kauffman-states functor
Andrew Manion
Recently, Ozsváth and Szabó introduced some algebraic constructions computing knot Floer homology in the spirit of bordered Floer homology, including a family of algebras B(n) and,…
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…
On two types of Heegaard diagram used in knot Floer homology
Andrew Manion
In this brief note, we give an explicit sequence of Heegaard moves interpolating between local versions of the Kauffman-states Heegaard diagram and the planar Heegaard diagram used…