Geometry, Topology and Dynamics Seminar
Steve Hurder
UIC
Self-intersections of foliation cycles
Abstract: We show that the self-intersection of a homology class defined by an unbounded averaging sequence
for a foliation $\mathcal F$ of a lamination $\Lambda$ embedded in a compact manifold M always vanishes.
The leaves of the lamination $\Lambda$ are assume to be smoothly embedded submanifolds of M,
but no assumption on the transverse differentiability of the holonomy maps for $\mathcal F$ is required.
The main result has applications to the study of Anosov diffeomorphisms.
Monday February 27, 2012 at 3:00 PM in SEO 636