Rouquier Complexes are Functorial over Braid Cobordisms

Details Rouquier Complexes are Functorial over Braid Cobordisms Rouquier Complexes are Functorial over Braid Cobordisms

2009-06-25

arxiv.org/abs/0906.4761v3

Mathematics

Representation Theory

40 pages, many figures

Scientific paper

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.

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