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Vanishing up to the rank in bounded cohomology

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A selection of aspects of the theory of bounded cohomology is presented. The emphasis is on questions motivating the use of that theory as well as on some concrete issues sugested by its study. Specific topics include rigidity, bounds on characteristic cla ...

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Orbit equivalence rigidity and bounded cohomology

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We establish new results and introduce new methods in the theory of measurable orbit equivalence. Our rigidity statements hold for a wide (uncountable) class of negatively curved groups. Amongst our applications are (a) measurable Mostow-type rigidity theo ...

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On and around the bounded cohomology of SL2

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We establish how the spectral decomposition for a Riemann surface determines the allocation of the bounded cohomology over the representations of SL2(R). Then we explore the connections of the Dilogarithm with the continuous bounded cohomology of SL2(R) an ...

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