On the cohomology of Artin groups in local systems and the associated Milnor fiber.

DOI10.1016/j.jpaa.2004.10.002zbMath1109.20027arXivmath/0405307OpenAlexW2043725783MaRDI QIDQ1772261

Filippo Callegaro

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405307

zbMATH Keywords

classifying spacescohomologyArtin groupslocal systemsreflection groupsfinite irreducible Coxeter groupsMilnor fibersdiscriminant bundles

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Milnor fibration; relations with knot theory (32S55)

Related Items (9)

The homology of the Milnor fiber for classical braid groups. ⋮ Generalization of the Dehornoy-Lafont order complex to categories: application to exceptional braid groups ⋮ Cohomology of affine Artin groups and applications ⋮ Cohomology of the Milnor Fibre of a Hyperplane Arrangement with Symmetry ⋮ Weighted sheaves and homology of Artin groups ⋮ Salvetti complex, spectral sequences and cohomology of Artin groups. ⋮ \(K(\pi,1)\) conjecture for Artin groups. ⋮ Homology computations for complex braid groups. II ⋮ On the local homology of Artin groups of finite and affine type

Cites Work

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• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• Cohomology of the commutator subgroup of the braid group
• Homology of iterated semidirect products of free groups
• The homotopy type of Artin groups
• Cohomology of Artin groups
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Arithmetic properties of the cohomology of braid groups

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