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2008 The foam and the matrix factorization $\mathit{sl}_3$ link homologies are equivalent
Marco Mackaay, Pedro Vaz
Algebr. Geom. Topol. 8(1): 309-342 (2008). DOI: 10.2140/agt.2008.8.309

Abstract

We prove that the universal rational sl3 link homologies which were constructed by Khovanov in [?] and the authors in [?], using foams, and by Khovanov and Rozansky in [?], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces.

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Marco Mackaay. Pedro Vaz. "The foam and the matrix factorization $\mathit{sl}_3$ link homologies are equivalent." Algebr. Geom. Topol. 8 (1) 309 - 342, 2008. https://doi.org/10.2140/agt.2008.8.309

Information

Received: 16 October 2007; Revised: 5 November 2007; Accepted: 2 January 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1159.57005
MathSciNet: MR2443231
Digital Object Identifier: 10.2140/agt.2008.8.309

Subjects:
Primary: 57M27
Secondary: 18G60, 57M25, 81R50

Rights: Copyright © 2008 Mathematical Sciences Publishers

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