arXiv Analytics

Sign in

arXiv:1309.3779 [math.AT]AbstractReferencesReviewsResources

Salvetti complex, spectral sequences and cohomology of Artin groups

Filippo Callegaro

Published 2013-09-15Version 1

The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.

Comments: 22 pages, abstract in French and English
Categories: math.AT
Subjects: 20F36, 55T05, 20J06
Related articles: Most relevant | Search more
arXiv:math/0008230 [math.AT] (Published 2000-08-30)
The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group
arXiv:0711.5020 [math.AT] (Published 2007-11-30)
The cohomology of certain groups
arXiv:0705.2823 [math.AT] (Published 2007-05-19)
Cohomology of affine Artin groups and applications

Links

Toolbox