Homology, Homotopy and Applications

Rouquier complexes are functorial over braid cobordisms

Ben Elias and Dan Krasner

Full-text: Open access

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.

Article information

Source
Homology Homotopy Appl., Volume 12, Number 2 (2010), 109-146.

Dates
First available in Project Euclid: 28 January 2011

Permanent link to this document
https://projecteuclid.org/euclid.hha/1296223879

Mathematical Reviews number (MathSciNet)
MR2721032

Zentralblatt MATH identifier
1210.57014

Subjects
Primary: 57M27: Invariants of knots and 3-manifolds 20F36: Braid groups; Artin groups

Keywords
Soergel bimodule Rouquier complex link homology braid cobordism

Citation

Elias, Ben; Krasner, Dan. Rouquier complexes are functorial over braid cobordisms. Homology Homotopy Appl. 12 (2010), no. 2, 109--146. https://projecteuclid.org/euclid.hha/1296223879


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