Autor:	Brunnbauer, M., Kotschick, D.
Rok vydání:	2008
Předmět:	Mathematics - Geometric Topology Mathematics - Differential Geometry 53C23
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0808.1482 Zobrazit plný text záznamu View this record from Arxiv