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

Mathematics – Geometric Topology

Scientific paper

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The Kapustin-Li formula has been corrected for facets with non-zero genus and its normalization and some signs have been chang

Scientific paper

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.

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