A vanishing criterion for cup products and Massey products in bounded cohomology

Fuente: arXiv
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Auteur principal: Hofmann, Franziska
Format: Preprint
Publié: 2024
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author Hofmann, Franziska
author_facet Hofmann, Franziska
contents We give a uniform vanishing criterion for products in bounded cohomology. This allows us to reprove and extend previous vanishing results for cup products and Massey triple products in the bounded cohomology of free groups and in the equivariant bounded cohomology of group actions on CAT(0) cube complexes.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17034
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A vanishing criterion for cup products and Massey products in bounded cohomology
Hofmann, Franziska
Group Theory
Geometric Topology
20E08, 20F65, 18G90, 05E18, 57M60
We give a uniform vanishing criterion for products in bounded cohomology. This allows us to reprove and extend previous vanishing results for cup products and Massey triple products in the bounded cohomology of free groups and in the equivariant bounded cohomology of group actions on CAT(0) cube complexes.
title A vanishing criterion for cup products and Massey products in bounded cohomology
topic Group Theory
Geometric Topology
20E08, 20F65, 18G90, 05E18, 57M60
url https://arxiv.org/abs/2407.17034