On hyperbolic cohomology classes
Geometric Topology
2008-08-12 v1 Differential Geometry
Abstract
We study hyperbolic cohomology classes in the general context of simplicial complexes and prove homological invariance statements for them. We relate the existence of hyperbolic cohomology classes to the non-amenability of the fundamental group. In degree two we clarify the relation between hyperbolic and atoroidal classes, leading to an application to symplectically atoroidal manifolds.
Cite
@article{arxiv.0808.1482,
title = {On hyperbolic cohomology classes},
author = {M. Brunnbauer and D. Kotschick},
journal= {arXiv preprint arXiv:0808.1482},
year = {2008}
}
Comments
8 pages