The foam and the matrix factorization sl(3) link homologies are equivalent

Mackaay, Marco; Vaz, Pedro

http://hdl.handle.net/10400.1/12108

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Authors

Mackaay, Marco

Vaz, Pedro

Abstract(s)

We prove that the universal rational sl(3) link homologies which were constructed by Khovanov in [3] and the authors in [7], using foams, and by Khovanov and Rozansky in [4], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces.