Salvetti complex, spectral sequences and cohomology of Artin groups
Algebraic Topology
2013-09-17 v1
Abstract
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.
Cite
@article{arxiv.1309.3779,
title = {Salvetti complex, spectral sequences and cohomology of Artin groups},
author = {Filippo Callegaro},
journal= {arXiv preprint arXiv:1309.3779},
year = {2013}
}
Comments
22 pages, abstract in French and English