9/18/2008

Sergio Fenley
Florida State University and Princeton University

Topology and asymptotic geometry of pseudo-Anosov flows

Given a pseudo-Anosov flow in a 3-manifold, its orbit space (in the universal cover) is homeomorphic to a plane. Hence topologically the flow is a product in the universal cover, but it is not always so geometrically. We will discuss examples of twisted and untwisted flows and describe the structure of twisting. We also show how the untwisted situation generates strong, detailed information about the asymptotic structure of the universal cover.