The \(L^2\)-(co)homology of groups with hierarchies

DOI10.2140/agt.2016.16.2549zbMath1383.20028arXiv1407.1340OpenAlexW2169171894MaRDI QIDQ341750

Kevin Schreve, Boris L. Okun

Publication date: 17 November 2016

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1340

zbMATH Keywords

Coxeter groupshierarchyaspherical manifoldsSinger conjectureaction dimensionHaken \(n\)-manifolds

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Group actions on manifolds and cell complexes in low dimensions (57M60)

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The Atiyah conjecture and \(L^2\)-cohomology computations ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Homology growth, hyperbolization, and fibering ⋮ An algorithm for an 𝓁²-homological test for the planarity of a graph ⋮ Mod \(p\) and torsion homology growth in nonpositive curvature ⋮ Rational manifold models for duality groups

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