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 |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Thomas Barthelmé, Tufts University |
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| Abstract: |
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| 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 |
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| Date: | 12 / 05 / 2012 |
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| Time: | 03:35pm - 05:30pm |
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