On Khovanov's cobordism theory for SU3 knot homology
We reconsider the 3 link homology theory defined by Knovanov in  and generalized by Mackaay and Vaz in . 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 . We show that this "seamed cobordism canopolis" decategorifies to give precisely what you had both hope for and expect: Kuperberg's 3...[Show more]
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|Source:||Journal of Knot Theory and Its Ramifications|
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