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Sl(N) link homology using foams and the Kapustin-Li formula

Abstract

We use foams to give a topological construction of a rational link homology categorifying the slN link invariant, for N>3. To evaluate closed foams we use the Kapustin-Li formula adapted to foams by Khovanov and Rozansky. We show that for any link our homology is isomorphic to Khovanov and Rozansky's.Comment: The Kapustin-Li formula has been corrected for facets with non-zero genus and its normalization and some signs have been changed accordingly. 43 pages, lots of figure

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