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The
foam and the matrix factorization $\mathit{sl}_3$ link
homologies are equivalent
Marco Mackaay and Pedro Vaz |
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Algebraic & Geometric Topology 8 (2008) 309–342
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Abstract |
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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. |
Keywords
$sl_3$, foams, Khovanov, Khovanov–Rozansky, link homology,
matrix factorization
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Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57M25, 81R50, 18G60
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References |
Publication
Received: 16 October 2007
Revised: 5 November 2007
Accepted: 2 January 2008
Published: 12 March 2008
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Authors |
| Marco Mackaay | |
| Departamento de Matemática Universidade do Algarve Campus de Gambelas 8005-139 Faro Portugal |
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| Pedro Vaz | |
| Departamento de Matemática Universidade do Algarve Campus de Gambelas 8005-139 Faro Portugal |
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