Rouquier Complexes are Functorial over Braid Cobordisms
Representation Theory
2009-07-27 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0906.4761,
title = {Rouquier Complexes are Functorial over Braid Cobordisms},
author = {Ben Elias and Daniel Krasner},
journal= {arXiv preprint arXiv:0906.4761},
year = {2009}
}
Comments
40 pages, many figures