Sl(N) link homology using foams and the Kapustin-Li formula
Marco Mackaay, Marko Stosic, Pedro Vaz
TL;DR
This paper constructs a rational link homology for sl(N) using foams and the Kapustin-Li formula, establishing an isomorphism with Khovanov and Rozansky's homology for N>3.
Contribution
It introduces a foam-based topological construction for sl(N) link homology and adapts the Kapustin-Li formula for evaluating closed foams.
Findings
Homology is isomorphic to Khovanov-Rozansky's for N>3
Provides a new foam-based approach to sl(N) link homology
Uses Kapustin-Li formula for foam evaluation
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.
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