PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title:Knot theory of R-covered Anosov flows: homotopy versus isotopy of closed orbits
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Thomas Barthelmé, Tufts University
Abstract:
R-covered Anosov flows are Anosov flows on 3-manifolds such that their stable and unstable foliations are well-behaved (their leaf spaces are homeomorphic to R). Geodesic flows of negatively curved manifolds and suspensions of Anosov diffeomorphisms are examples of R-covered Anosov flows, but there are many other examples in all kinds of 3-manifolds. When the manifold is hyperbolic, S. Fenley showed that every free homotopy class of a closed orbit contains infinitely many closed orbits. Hence a free homotopy class of a closed orbit gives a family of knots in an hyperbolic manifold. A natural question is whether these knots are equivalent or not. In my talk, I will introduce the needed tools and answer that question. (Joint work with Sergio Fenley)

Room Reservation Information

Room Number:MB106
Date:12 / 05 / 2012
Time:03:35pm - 05:30pm