sl(N)-LINK HOMOLOGY (N ≥ 4) USING FOAMS AND THE KAPUSTIN-LI FORMULA

Abstract

ABSTRACT. 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 [7]. We show that for any link our homology is isomorphic to the Khovanov-Rozansky [6] homology. 1.