sl(N)-link homology (N >= 4) using foams and the Kapustin-Li formula

Mackaay, Marco; Stosic, Marko; Vaz, Pedro

http://hdl.handle.net/10400.1/12102

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Authors

Mackaay, Marco

Stosic, Marko

Vaz, Pedro

Abstract(s)

We use foams to give a topological construction of a rational link homology categorifying the sl(N) link invariant, for N >= 4. To evaluate closed foams we use the Kapustin-Li formula adapted to foams by Khovanov and Rozansky [9]. We show that for any link our homology is isomorphic to the Khovanov-Rozansky [11] homology.