Mathematics – Geometric Topology
Scientific paper
2008-08-11
Mathematics
Geometric Topology
8 pages
Scientific paper
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.
Brunnbauer Michael
Kotschick D.
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