On hyperbolic cohomology classes

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 hyperbol...

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Bibliographic Details
Published inarXiv.org
Main Authors Brunnbauer, M, Kotschick, D
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.08.2008
Subjects
Homology
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Summary: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.
ISSN:2331-8422