Transgression in bounded cohomology and a conjecture of Monod

Author:

Ott Andreas1ORCID

Affiliation:

1. Mathematisches Institut, Ruprecht-Karls-Universität Heidelberg, Mathematikon, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany

Abstract

We develop an algebro-analytic framework for the systematic study of the continuous bounded cohomology of Lie groups in large degree. As an application, we examine the continuous bounded cohomology of [Formula: see text] with trivial real coefficients in all degrees greater than two. We prove a vanishing result for strongly reducible classes, thus providing further evidence for a conjecture of Monod. On the cochain level, our method yields explicit formulas for cohomological primitives of arbitrary bounded cocycles.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Geometry and Topology,Analysis

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