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$\mathfrak{sl}(N)$–link
homology ($N\geq 4$) using foams and the Kapustin–Li
formula
Marco Mackaay, Marko Stošić and Pedro Vaz |
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Geometry & Topology 13 (2009) 1075–1128
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Abstract |
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We use foams to give a topological construction of a rational link homology categorifying the link invariant, for . To evaluate closed foams we use the Kapustin–Li formula adapted to foams by Khovanov and Rozansky [Adv. Theor. Math. Phys. 11 (2007) 233-259]. We show that for any link our homology is isomorphic to the Khovanov–Rozansky [Fund. Math. 199 (2008) 1-91] homology. |
Keywords
\mathfraksl(N), foams, link homology, Kapustin–Li,
Khovanov–Rozansky
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Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57M25, 81R50, 18G60
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References |
Publication
Received: 4 December 2007
Revised: 1 August 2008
Accepted: 31 December 2008
Published: 27 January 2009
Proposed: Peter Ozsváth
Seconded: Peter Teichner, Robion Kirby
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Authors |
| Marco Mackaay | |
| Departamento de Matemática Universidade do Algarve Campus de Gambelas 8005-139 Faro Portugal |
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| Marko Stošić | |
| Instituto de Sistemas e Robótica and
CAMGSD Instituto Superior Técnico Avenida Rovisco Pais 1049-001 Lisboa Portugal |
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| Pedro Vaz | |
| Departamento de Matemática Universidade do Algarve Campus de Gambelas 8005-139 Faro Portugal |
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