We define new differential graded algebras in the framework of Lipshitz, Ozsváth and Thurston’s and Zarev’s strands algebras from bordered Floer homology. The algebras are meant to be strands models for Ozsváth and Szabó’s algebras ; indeed, we exhibit a quasi-isomorphism from to . We also show how Ozsváth and Szabó’s gradings on arise naturally from the general framework of group-valued gradings on strands algebras.
"Strands algebras and Ozsváth and Szabó's Kauffman-states functor." Algebr. Geom. Topol. 20 (7) 3607 - 3706, 2020. https://doi.org/10.2140/agt.2020.20.3607