Displacement techniques in bounded cohomology
arxiv(2024)
摘要
Several algebraic criteria, reflecting displacement properties of
transformation groups, have been used in the past years to prove vanishing of
bounded cohomology and stable commutator length. Recently, the authors
introduced the property of commuting cyclic conjugates, a new displacement
technique that is widely applicable and provides vanishing of the bounded
cohomology in all positive degrees and all dual separable coefficients. In this
note we consider the most recent along with the by now classical displacement
techniques and we study implications among them as well as counterexamples.
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