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University Park
Altoona

Thursday, October 9, 2008
1:25 pm, 315 McAllister

David Hurtubise
Penn State University

Floer homology of cotangent bundles.

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.

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We meet weekly on Thursday afternoons, alternating between Penn State Altoona and Penn State University Park. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2008 semester: Wojtek Dorabiala and Aissa Wade.

 

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