The homology of a space on which a reflection group acts

DOI10.1215/S0012-7094-87-05506-2zbMath0625.57020OpenAlexW2073810662MaRDI QIDQ579682

Michael W. Davis

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05506-2

zbMATH Keywords

reflection groupCoxeter systemactions of Coxeter groups on CW-groupshomology groups of certain spaces

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Finite transformation groups (57S17) Homology and cohomology theories in algebraic topology (55N99) Reflection groups, reflection geometries (51F15)

Related Items

Some aspherical manifolds, Erratum: ``The homology of a space on which a reflection group acts, Cohomology of Coxeter groups with group ring coefficients. II., Weighted \(L^2\)-cohomology of Coxeter groups., A generalization of moment-angle manifolds with noncontractible orbit spaces, Reflection groups on Riemannian manifolds, The cohomology of a Coxeter group with group ring coefficients

Cites Work

• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• A decomposition of the group algebra of a finite Coxeter group
• Unnamed Item