Geometry, Topology and Dynamics Seminar
Steve Hurder
UIC
Riemannian foliations with finite transverse LS category
Abstract: The transverse LS category of a foliation is a measure of the topological and dynamical complexity of a
foliation. We give a complete characterization of which Riemannian foliations have finite transverse LS
category. We also introduce the essential transverse LS category, which is a modified approach using
foliation minimal sets, and show this is always finite. Both versions of transverse category are related to
equivariant LS category for compact group actions using the Molino Structure Theory for Riemannian
foliations. This is joint work with Dirk Toeben.
Monday September 11, 2006 at 3:00 PM in SEO 512