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Theses

Continuité en topologie symplectique.

Abstract : In this thesis, we study several problems from symplectic topology, where C°-topology interfere. We study some completions of the space of Hamiltonian maps, and apply this study to the Hamilton-Jacobi equations. Then, we tackle the problem of the extension of the Calabi morphism to some homeomorphism groups. Finally, we consider the C°-rigidity of Poisson bracket and the extension to the continuous framework of the notion of Hamiltonian representation.
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https://pastel.archives-ouvertes.fr/pastel-00004108
Contributor : Ecole Polytechnique <>
Submitted on : Thursday, July 22, 2010 - 9:46:22 AM
Last modification on : Wednesday, March 27, 2019 - 4:08:30 PM
Long-term archiving on: : Monday, October 25, 2010 - 11:27:23 AM

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  • HAL Id : pastel-00004108, version 1

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Vincent Humiliere. Continuité en topologie symplectique.. Mathématiques [math]. Ecole Polytechnique X, 2008. Français. ⟨pastel-00004108⟩

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