Transgression in bounded cohomology and a conjecture of Monod

Abstract:

We develop an algebro-analytic framework for the systematic study of the con-tinuous bounded cohomology of Lie groups in large degree. As an application, we examine the continuous bounded cohomology of \mathrmPSL(2,\mathbb R) 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.

SEEK ID: https://publications.h-its.org/publications/955

DOI: 10.1142/S1793525320500399

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Journal of Topology and Analysis

Citation: J. Topol. Anal.:1-40

Date Published: 15th Nov 2019

URL: https://www.worldscientific.com/doi/abs/10.1142/S1793525320500399

Registered Mode: imported from a bibtex file

Author: Andreas Ott

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Citation
Ott, A. (2019). Transgression in bounded cohomology and a conjecture of Monod. In Journal of Topology and Analysis (Vol. 13, Issue 04, pp. 959–998). World Scientific Pub Co Pte Ltd. https://doi.org/10.1142/s1793525320500399
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Created: 30th Jan 2020 at 09:34

Last updated: 5th Mar 2024 at 21:24

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