A stability-like theorem for cohomology of pure braid groups of the series \(A\), \(B\) and \(D\).

DOI10.1016/j.topol.2003.09.003zbMath1064.20052arXivmath/0307149OpenAlexW2148784971MaRDI QIDQ1877600

Simona Settepanella

Publication date: 19 August 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307149

zbMATH Keywords

cohomology with local coefficientspure braid groupsarrangements of hyperplanesMilnor fibres

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (10)

Homology graph of real arrangements and monodromy of Milnor fiber ⋮ On the homology of the noncrossing partition lattice and the Milnor fibre ⋮ Cohomology of the Milnor Fibre of a Hyperplane Arrangement with Symmetry ⋮ Noncrossing partitions and Milnor fibers ⋮ \(K(\pi,1)\) conjecture for Artin groups. ⋮ On the Milnor monodromy of the exceptional reflection arrangement of type \(G_{31}\) ⋮ Representation stability for pure braid group Milnor fibers ⋮ On the monodromy action on Milnor fibers of graphic arrangements ⋮ Cohomology of pure braid groups of exceptional cases. ⋮ ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS

Cites Work

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• Cohomologies of groups of braids of series C and D and certain stratifications
• Stability for the cohomology of Artin groups
• Cohomology of Coxeter groups and Artin groups
• The homotopy type of Artin groups
• Cohomology of Artin groups
• Combinatorial Stratification of Complex Arrangements
• Arithmetic properties of the cohomology of braid groups
• The Orlik-Solomon complex and Milnor fibre homology

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