Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume

DOI10.1090/memo/1402OpenAlexW2888467564MaRDI QIDQ5877464

Roberto Frigerio, Marco Moraschini

Publication date: 13 February 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07307

zbMATH Keywords

simplicial complexamenable groupsingular homologysimplicial setbounded cohomologymulticomplexdiffusion operatorsimplicial volumehomotopy groupssingular cohomologykan complex\( \ell^1\)-homology

Mathematics Subject Classification ID

General topology of complexes (57Q05) Homotopy groups, general; sets of homotopy classes (55Q05) Cohomology of groups (20J06) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Simplicial sets and complexes in algebraic topology (55U10) Algebraic topology of manifolds (57N65) Means on groups, semigroups, etc.; amenable groups (43A07) Singular homology and cohomology theory (55N10) Algebraic topology on manifolds and differential topology (57R19) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items

Central extensions and bounded cohomology ⋮ Amenability and acyclicity in bounded cohomology

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