The Blanchet-Khovanov algebras

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 à la Blanchet. As the main result we give algebraic versions of these algebras using the combinatorics of arc diagrams.

40 pages, many colored figures, revised version (e.g. added suggestions of a referee), to appear in Contemp. Math., Perspectives on Categorification, comments welcome

References in corpus (3)

• TQFT with corners and tilting functors in the Kac-Moody case
• Khovanov's invariant for closed surfaces
• Generic ${\mathfrak{gl}}_2$-foams, web and arc algebras

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