Transgression in bounded cohomology and a conjecture of Monod
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BiBTeXWe 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
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Created: 30th Jan 2020 at 09:34
Last updated: 5th Mar 2024 at 21:24
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Research Groups: Groups and Geometry
Institutions: Heidelberg Institute for Theoretical Studies
Research Groups: Groups and Geometry
Institutions: Heidelberg Institute for Theoretical Studies
Public web page: Not specified
