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

Understand

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.