For more information about this meeting, contact Dmitri Burago, Anatole Katok, Aaron Brown.
|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|
|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
|Date:||12 / 05 / 2012|
|Time:||03:35pm - 05:30pm|