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arXiv · 1211.7339

$K(\pi,1)$ conjecture for Artin groups

Luis Paris
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Abstract

The purpose of this paper is to put together a large amount of results on the $K(\pi,1)$ 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.

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Luis Paris. 2012-11-30. $K(\pi,1)$ conjecture for Artin groups. https://arxiv.org/abs/1211.7339

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