Geodesic
The foam and the matrix factorization sl3 link homologies are equivalent
Mackaay, Marco1 ; Vaz, Pedro1
1Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal
Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 309-342
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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.

DOI : 10.2140/agt.2008.8.309
Keywords: $sl_3$, foams, Khovanov, Khovanov–Rozansky, link homology, matrix factorization

Mackaay, Marco  1   ; Vaz, Pedro  1

1 Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal 
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Mackaay, Marco; Vaz, Pedro. The foam and the matrix factorization sl3 link homologies are equivalent. Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 309-342. doi: 10.2140/agt.2008.8.309

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