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Trivial Massey Product in Bounded Cohomology

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arxiv 2209.00560 v1 pith:IYFQRH2G submitted 2022-09-01 math.GR math.GT

Domenico Marasco This is my paper · ORCID
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keywords boundedcohomologymasseyproducttrivialalwaysfactorrepresented
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We show that in the bounded cohomology of non-abelian free groups the Massey triple product is always trivial when the second factor is represented by the coboundary of a decomposable quasi-morphism. We also show that in the bounded cohomology of a negatively curved compact Riemannian manifold the Massey triple product is always trivial when the second factor is represented by an exact differential form.

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  1. Bounded cohomology of groups acting on trees with almost prescribed local actions

    math.GR 2024-12 conditional novelty 7.0 of 10

    For the groups G(F,F'), if F' is 2-transitive then the group is boundedly acyclic; otherwise its second bounded cohomology is infinite dimensional.

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