Rouquier Complexes are Functorial over Braid Cobordisms

Abstract

Using the diagrammatic calculus for Soergel bimodules developed by B. Elias and M. Khovanov, we show that Rouquier complexes are functorial over braid cobordisms. We explicitly describe the chain maps which correspond to movie move generators.

40 pages, many figures

References in corpus (1)

• Some differentials on Khovanov-Rozansky homology

Cited by in corpus (1)

• Integral HOMFLY-PT and sl(n)-link homology