For more information about this meeting, contact Augustin Banyaga, Mari Royer, Aissa Wade, Diane Henderson.
| Title: | Floer homology of cotangent bundles |
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| Seminar: | Symplectic Topology Seminar |
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| Speaker: | David Hurtubise (PSU) |
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| Abstract: |
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| talk 1:25PM in McAllister 315
Abstract: Let M be a closed smooth manifold. The cotangent bundle T*M has a natural symplectic structure, and given a time-dependent Hamiltonian on T*M satisfying certain conditions one can define the symplectic Floer homology of T*M. Unlike the compact case, the Floer homology of T*M is not the singular homology of the underlying manifold. Instead, the Floer homology of T*M turns out to be isomorphic to the singular homology of the free loop space of M. In this talk I will outline three different approaches to establishing this isomorphism. The approaches three approaches are due to 1) Viterbo, 2) Abbondandolo and Schwarz, and 3) Salamon and Weber. |
Room Reservation Information
| Room Number: | MB315 |
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| Date: | 10 / 09 / 2008 |
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| Time: | 01:25pm - 02:15pm |
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