Abstract
We prove that the universal rational 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.
Citation
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
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