A new way to evaluate MOY graphs

Abstract

We define a new way to evaluate MOY graphs. We prove that this new evaluation coincides with the classical evaluation by checking some skein relations. As a consequence, we prove a formula which relates the ${\mathfrak{sl}}_N$ and ${\mathfrak{sl}}_{N-1}$-evaluations of MOY graphs.

Introduction rewritten

References in corpus (2)

• Sl(N) link homology using foams and the Kapustin-Li formula
• The ${\mathfrak{sl}}_n$ foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality