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

DOI10.5802/AFST.1411zbMATH Open1306.20040arXiv1211.7339OpenAlexW2114220480WikidataQ122938056 ScholiaQ122938056MaRDI QIDQ2450838

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Publication date: 22 May 2014

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1211.7339

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