$K(\pi,1)$ conjecture for Artin groups
Group Theory
2012-12-03 v1 Algebraic Topology
Abstract
The purpose of this paper is to put together a large amount of results on the conjecture for Artin groups, and to make them accessible to non-experts. Firstly, this is a survey, containing basic definitions, the main results, examples and an historical overview of the subject. But, it is also a reference text on the topic that contains proofs of a large part of the results on this question. Some proofs as well as few results are new. Furthermore, the text, being addressed to non-experts, is as self-contained as possible.
Keywords
Cite
@article{arxiv.1211.7339,
title = {$K(\pi,1)$ conjecture for Artin groups},
author = {Luis Paris},
journal= {arXiv preprint arXiv:1211.7339},
year = {2012}
}