Transgression in bounded cohomology and a conjecture of Monod
Group Theory
2018-11-20 v1 Differential Geometry
Geometric Topology
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 PSL(2,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.
Keywords
Cite
@article{arxiv.1811.07558,
title = {Transgression in bounded cohomology and a conjecture of Monod},
author = {Andreas Ott},
journal= {arXiv preprint arXiv:1811.07558},
year = {2018}
}