\(K(\pi,1)\) conjecture for Artin groups.
type: Item
instance of: scholarly article
title: \(K(\pi,1)\) conjecture for Artin groups.
zbMATH Open document ID: 1306.20040
author: Luis Paris
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2014-05-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.7339
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 55R35
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 55P20
Mathematics Subject Classification ID: 14N20
zbMATH DE Number: 6297897
zbMATH Keywords: Artin groups
zbMATH Keywords: \(K(\pi,1)\) conjecture
zbMATH Keywords: Salvetti complexes
zbMATH Keywords: arrangements of hyperplanes
zbMATH Keywords: Coxeter groups
zbMATH Keywords: reflection groups
zbMATH Keywords: Artin monoids
zbMATH Keywords: homotopy types
zbMATH Keywords: cellular decompositions
zbMATH Keywords: fundamental groups
MaRDI profile type: Publication
OpenAlex ID: W2114220480
Wikidata QID: Q122938056
arXiv ID: 1211.7339
cites work: Buildings
cites work: Q5610255
cites work: Q5580319
cites work: Q4403463
cites work: Artin-Gruppen und Coxeter-Gruppen
cites work: Q3708977
cites work: On the cohomology of Artin groups in local systems and the associated Milnor fiber.
cites work: The homology of the Milnor fiber for classical braid groups.
cites work: Cohomology of affine Artin groups and applications
cites work: Cohomology of Artin groups of type tilde{A}_n, B_n and applications
cites work: The \(K(\pi,1)\) problem for the affine Artin group of type \(\widetilde B_n\) and its cohomology.
cites work: Integral cohomology of the Milnor fibre of the discriminant bundle associated with a finite Coxeter group
cites work: The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
cites work: Q4266116
cites work: Bestvina's normal form complex and the homology of Garside groups.
cites work: The \(K(\pi,1)\)-conjecture for the affine braid groups.
cites work: The homology of iterated loop spaces
cites work: Discrete groups generated by reflections
cites work: The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
cites work: Arithmetic properties of the cohomology of braid groups
cites work: Q4487384
cites work: Stability for the cohomology of Artin groups
cites work: Cohomology of Coxeter groups and Artin groups
cites work: The top-cohomology of Artin groups with coefficients in rank-1 local systems over \(\mathbb{Z}\)
cites work: Homology of Gaussian groups.
cites work: Les immeubles des groupes de tresses généralises
cites work: The Arnol'd-Thom-Pham conjecture and the classifying space of a positive Artin monoid
cites work: The \(K(\pi ,1)\) conjecture for a class of Artin groups
cites work: The Braid Groups.
cites work: Cohomologies of the group COS mod 2
cites work: \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
cites work: Q4819371
cites work: Hyperplane complements of large type
cites work: Cohomology rings of Artin groups
cites work: A note on words in braid monoids
cites work: Das \(K(\pi,1)\)-Problem für die affinen Wurzelsysteme vom Typ \(A_n\), \(C_n\)
cites work: Q4003206
cites work: Discrete Morse theory and a reformulation of theK(π,1)-conjecture
cites work: Universal Cover of Salvetti's Complex and Topology of Simplicial Arrangements of Hyperplanes
cites work: Artin monoids inject in their groups
cites work: Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
cites work: On the homotopy theory of complexes associated to metrical-hemisphere complexes
cites work: The homotopy type of Artin groups
cites work: Artin groups associated to infinite Coxeter groups
cites work: Configuration-spaces and iterated loop-spaces
cites work: A stability-like theorem for cohomology of pure braid groups of the series \(A\), \(B\) and \(D\).
cites work: Cohomology of pure braid groups of exceptional cases.
cites work: Q4321743
cites work: Q5605923
cites work: Q4485806
cites work: Cohomologies of braid groups

\(K(\pi,1)\) conjecture for Artin groups. (cites work)
cites work: Q5659760

\(K(\pi,1)\) conjecture for Artin groups. (DOI)
DOI: 10.5802/AFST.1411