${\mathfrak{gl}}_n$-webs, categorification and Khovanov-Rozansky homologies

Daniel Tubbenhauer

In this paper we define an explicit basis for the ${\mathfrak{gl}}_n$-web algebra $H_n(\vec{k})$ (the ${\mathfrak{gl}}_n$ generalization of Khovanov's arc algebra) using categorified $…