Stabilization of Bounded Cohomology for Classical Groups
Group Theory
2023-07-26 v2 K-Theory and Homology
Abstract
We show that bounded cohomology stabilizes along sequences of classical Lie groups, and along sequences of lattices in them. Our method is based on a criterion from (arXiv:2307.12808) which adapts Quillen's stability method to the setting of bounded cohomology. This criterion is then applied to a family of measured complexes, the so-called Stiefel complexes, associated to any vector space endowed with a non-degenerate sesquilinear form.
Cite
@article{arxiv.2201.03879,
title = {Stabilization of Bounded Cohomology for Classical Groups},
author = {Carlos De la Cruz Mengual and Tobias Hartnick},
journal= {arXiv preprint arXiv:2201.03879},
year = {2023}
}
Comments
This is a revised version of (arXiv:2201.03879v1), which has now been split into two parts for better legibility. The material extracted from (arXiv:2201.03879v1) is now contained in (arXiv:2307.12808)