Coherence and negative sectional curvature in complexes of groups

DOI10.1307/mmj/1378757886zbMath1309.57005arXiv1307.7929OpenAlexW2017913514MaRDI QIDQ376665

Eduardo Martínez Pedroza, Daniel T. Wise

Publication date: 19 November 2013

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

Full work available at URL: https://arxiv.org/abs/1307.7929

zbMATH Keywords

\(\ell^2\)-Betti numberscoherent groupcombinatorial Gauss-Bonnet formulacombinatorial sectional curvaturelocally quasiconvex subgroup

Mathematics Subject Classification ID

Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60) Geometric structures on manifolds of high or arbitrary dimension (57N16)

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COHERENCE, LOCAL INDICABILITY AND NONPOSITIVE IMMERSIONS ⋮ Uniform negative immersions and the coherence of one-relator groups ⋮ Lifting group actions, equivariant towers and subgroups of non-positively curved groups. ⋮ Sectional curvature of polygonal complexes with planar substructures ⋮ Incoherent Coxeter Groups

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