Right-angularity, flag complexes, asphericity

DOI10.1007/s10711-011-9654-4zbMath1293.57003arXiv1102.4670OpenAlexW1969208175MaRDI QIDQ438949

Michael W. Davis

Publication date: 31 July 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4670

zbMATH Keywords

aspherical manifoldpolyhedral productright-angled Artin groupright-angled Coxeter groupDavis-Januszkiewicz spacegraph productright-angled building

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Groups with a (BN)-pair; buildings (20E42)

Related Items (6)

Combinatorial covers and vanishing of cohomology ⋮ Random graph products of finite groups are rational duality groups ⋮ Graph-wreath products and finiteness conditions ⋮ Criteria for asphericity of polyhedral products: corrigenda to ``Right-angularity, flag complexes, asphericity ⋮ The Euler characteristic of a polyhedral product ⋮ On the \(\sigma\)-invariants of wreath products

Cites Work

• Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products.
• Convex polytopes, Coxeter orbifolds and torus actions
• Moment-angle complexes, monomial ideals and Massey products
• Finite index subgroups of graph products.
• Examples of buildings constructed via covering spaces
• Some aspherical manifolds
• Nonpositive curvature of blow-ups
• Strict hyperbolization
• On polyhedral retracts and compactifications of locally symmetric spaces
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Les immeubles des groupes de tresses généralises
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces
• Buildings
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Commensurability of graph products
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Right-angularity, flag complexes, asphericity