Multiplicative constants and maximal measurable cocycles in bounded cohomology
Geometric Topology
2021-09-06 v2
Abstract
Multiplicative constants are a fundamental tool in the study of maximal representations. In this paper we show how to extend such notion, and the associated framework, to measurable cocycles theory. As an application of this approach, we define and study the Cartan invariant for measurable -cocycles of complex hyperbolic lattices.
Keywords
Cite
@article{arxiv.1912.09731,
title = {Multiplicative constants and maximal measurable cocycles in bounded cohomology},
author = {Marco Moraschini and Alessio Savini},
journal= {arXiv preprint arXiv:1912.09731},
year = {2021}
}
Comments
35 pages; Major corrections along the paper following the referee's suggestions. To appear in Ergod. Theory Dyn. Syst