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 BarthelmÃ©, 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 |