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Habilitation à diriger des recherches

Systèmes intégrables semi-classiques: du local au global

Abstract : The aim of this document is to present a panorama of the research I have done since my PhD defense in 1998. I took advantage of it to re-organize my results and provide new thoughts in order to produce a better balance between a survey and a summary of my research. The text deals with completeley integrable systems, their singularities, their global aspects, and certain links they possess with toric varieties, all of this from the viewpoint of classical mechanics and semiclassical quantisation. Particular attention will be paid to non-degenerate singularities.
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Habilitation à diriger des recherches
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https://tel.archives-ouvertes.fr/tel-00007113
Contributor : Arlette Guttin-Lombard <>
Submitted on : Thursday, October 14, 2004 - 8:57:11 AM
Last modification on : Wednesday, November 4, 2020 - 2:05:33 PM
Long-term archiving on: : Monday, September 6, 2010 - 11:42:37 AM

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San Vu Ngoc. Systèmes intégrables semi-classiques: du local au global. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2003. ⟨tel-00007113⟩

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