Sl(N) link homology using foams and the Kapustin-Li formula
arXiv:0708.2228 · doi:10.2140/gt.2009.13.1075
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.
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 figures