Extending higher-dimensional quasi-cocycles

DOI10.1112/jtopol/jtv017zbMath1360.20034arXiv1311.7633OpenAlexW3105060618MaRDI QIDQ3462032

Alessandro Sisto, Maria Beatrice Pozzetti, Roberto Frigerio

Publication date: 4 January 2016

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7633

zbMATH Keywords

bounded cohomologyGromov hyperbolic spacehyperbolically embedded subgroupsacylindrical action

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (16)

Bounded cohomology of transformation groups ⋮ Deviation inequalities for random walks ⋮ Norm-controlled cohomology of transformation groups ⋮ Acylindrical actions on projection complexes ⋮ Bounded cohomology classes of exact forms ⋮ Constructing group actions on quasi-trees and applications to mapping class groups ⋮ Median quasimorphisms on CAT(0) cube complexes and their cup products ⋮ Infinitely presented graphical small cancellation groups are acylindrically hyperbolic ⋮ A note on acylindrical hyperbolicity of mapping class groups ⋮ Characterising actions on trees yielding non-trivial quasimorphisms ⋮ Intersection properties of stable subgroups and bounded cohomology ⋮ Bounded cohomology and virtually free hyperbolically embedded subgroups ⋮ Cup product in bounded cohomology of the free group ⋮ Acylindrical hyperbolicity of cubical small cancellation groups ⋮ Random Subgroups of Acylindrically Hyperbolic Groups and Hyperbolic Embeddings ⋮ Relative second bounded cohomology of free groups..

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