Cohomology of affine Artin groups and applications

DOI10.1090/S0002-9947-08-04488-7zbMath1191.20056arXiv0705.2823MaRDI QIDQ3518197

Davide Moroni, Mario Salvetti, Filippo Callegaro

Publication date: 7 August 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2823

zbMATH Keywords

cohomology groupspresentationsbraid groupstwisted cohomologygroup representationsrational cohomologyShapiro lemmaLaurent polynomial ringsaffine Artin groupsfinite CW-complexes

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Cohomology of groups (20J06)

Related Items

Some Combinatorial Constructions and Relations with Artin Groups ⋮ Homology of the family of hyperelliptic curves ⋮ Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-\(B\) Artin groups ⋮ Families of superelliptic curves, complex braid groups and generalized Dehn twists ⋮ Homology computations for complex braid groups. ⋮ Weighted sheaves and homology of Artin groups ⋮ The genus of the configuration spaces for Artin groups of affine type ⋮ Salvetti complex, spectral sequences and cohomology of Artin groups. ⋮ \(K(\pi,1)\) conjecture for Artin groups. ⋮ Second mod 2 homology of Artin groups ⋮ Transverse properties of parabolic subgroups of Garside groups ⋮ Combinatorics and topology of toric arrangements defined by root systems ⋮ Proof of the \(K(\pi,1)\) conjecture for affine Artin groups ⋮ On the local homology of Artin groups of finite and affine type ⋮ On the homology of the commutator subgroup of the pure braid group ⋮ The mysterious geometry of Artin groups ⋮ Arrangements of lines and monodromy of associated Milnor fibers

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