Some applications of \(\ell_p\)-cohomology to boundaries of Gromov hyperbolic spaces

DOI10.4171/GGD/318zbMath1355.20037arXiv1203.1233OpenAlexW2962866622MaRDI QIDQ2356009

Marc Bourdon, Bruce Kleiner

Publication date: 28 July 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1233

zbMATH Keywords

hyperbolic groupscohomology of groupsnonpositively curved groupsasymptotic properties of groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (10)

\(\ell_p\)-cohomology in higher degrees and conformal dimension ⋮ Embeddings of locally compact hyperbolic groups into \(L_{p}\)-spaces ⋮ Orlicz spaces and the large scale geometry of Heintze groups ⋮ Conformal dimension via p-resistance: Sierpinski carpet ⋮ Linear and Nonlinear Harmonic Boundaries of Graphs; An Approach with ℓ p-Cohomology in Degree One ⋮ Conformal dimension of hyperbolic groups that split over elementary subgroups ⋮ On the \(\ell ^{q,p}\) cohomology of Carnot groups ⋮ Rational manifold models for duality groups ⋮ Cross ratios and cubulations of hyperbolic groups ⋮ Conformal dimension via subcomplexes for small cancellation and random groups

Cites Work

• Unnamed Item
• The first Betti number and the Laplace spectrum of certain hyperbolic manifolds
• Expanding Thurston Maps

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