On the homology of the commutator subgroup of the pure braid group

DOI10.1090/proc/15404zbMath1475.20062arXiv1905.05099OpenAlexW3112428551MaRDI QIDQ4985375

Andrea Bianchi

Publication date: 23 April 2021

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

Full work available at URL: https://arxiv.org/abs/1905.05099

zbMATH Keywords

cohomological dimensioncommutator subgrouppure braid group

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (1)

Groups in which the commutator subgroup is cyclic

Cites Work

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• The homology of the Milnor fiber for classical braid groups.
• Cohomology of pure braid groups of exceptional cases.
• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• Cohomology of the commutator subgroup of the braid group
• Cohomology of braid groups with nontrivial coefficients
• Morse theory for cell complexes
• The cohomology ring of the colored braid group
• Euclidean matchings and minimality of hyperplane arrangements
• Topological complexity of unordered configuration spaces of surfaces
• Cohomologies of the group COS mod 2
• Cohomology of affine Artin groups and applications
• Morse Theory
• Configuration Spaces.
• Combinatorial algebraic topology
• Arithmetic properties of the cohomology of braid groups
• The Orlik-Solomon complex and Milnor fibre homology

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