The Blanchet-Khovanov algebras
Michael Ehrig, Catharina Stroppel, Daniel Tubbenhauer

TL;DR
This paper introduces graded algebras based on Blanchet's singular cobordisms, providing algebraic models using arc diagram combinatorics to enhance the understanding of functorial Khovanov homology.
Contribution
It offers algebraic formulations of Blanchet's cobordism-based algebras through combinatorial arc diagrams, advancing the algebraic understanding of functorial Khovanov homology.
Findings
Algebras constructed from singular cobordisms
Algebraic models using arc diagram combinatorics
Enhanced functoriality in Khovanov homology
Abstract
Blanchet introduced certain singular cobordisms to fix the functoriality of Khovanov homology. In this paper we introduce graded algebras consisting of such singular cobordisms \`a la Blanchet. As the main result we give algebraic versions of these algebras using the combinatorics of arc diagrams.
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