Bounded cohomology via partial differential equations, I
Group Theory
2016-01-20 v2 Analysis of PDEs
Abstract
We present a new technique that employs partial differential equations in order to explicitly construct primitives in the continuous bounded cohomology of Lie groups. As an application, we prove a vanishing theorem for the continuous bounded cohomology of SL(2, R) in degree four, establishing a special case of a conjecture of Monod.
Cite
@article{arxiv.1310.4806,
title = {Bounded cohomology via partial differential equations, I},
author = {Tobias Hartnick and Andreas Ott},
journal= {arXiv preprint arXiv:1310.4806},
year = {2016}
}
Comments
3 figures. Minor changes and corrections