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On Khovanov's cobordism theory for SU3 knot homology

Morrison, Scott; Nieh, Ari


We reconsider the 3 link homology theory defined by Knovanov in [9] and generalized by Mackaay and Vaz in [15]. With some slight modifications, we describe the theory as a map from the planar algebra of tangles to a planar algebra of complexes of "cobordisms with seams" (actually, a "canopolis"), making it local in the sense of Bar-Natan's local 2 theory of [2]. We show that this "seamed cobordism canopolis" decategorifies to give precisely what you had both hope for and expect: Kuperberg's 3...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Journal of Knot Theory and Its Ramifications
DOI: 10.1142/S0218216508006555


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