A closed formula for the evaluation of foams

Abstract

We give a purely combinatorial formula for evaluating closed, decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral, equivariant version of colored Khovanov–Rozansky link homology categorifying the \mathfrak {sl}_N link polynomial. We also provide connections to the equivariant cohomology rings of partial flag varieties.

Topics & Concepts