Work

$K(π,1)$ conjecture for Artin groups

Year: 2012

Type: article

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

DOI: 10.48550/arxiv.1211.7339

Author: Paris, Luis

Institutions: Université de Bourgogne, Institut de Mathématiques de Bourgogne

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4297067960

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