Geometry, Topology and Dynamics Seminar
Iddo Samet
Hebrew University, Jerusalem
Homology and volume of negatively curved orbifolds
Abstract: The idea that volume restricts topological complexity is classical in the study of negatively curved manifolds.
In the early 80's Gromov proved that the Betti numbers of a negatively curved manifold are bounded linearly by its volume.
We show that this linear bound holds also for negatively curved orbifolds.
This implies, for example, that if $\Gamma$ is a lattice (possibly with torsion) in a rank-one Lie group then the rank of its homology with rational coefficients
is bounded linearly by its co-volume.
Wednesday January 19, 2011 at 3:00 PM in SEO 636