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Theorie de Morse et homologie de Floer PDF

555 Pages·2010·6.4 MB·French
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by Michele Audin| 2010| 555 pages| 6.4| French

About Theorie de Morse et homologie de Floer

Cet ouvrage est une introduction aux methodes modernes de la topologie symplectique. Il est consacre a un probleme issu de la mecanique classique, la and “conjecture d’Arnold’, qui propose de minimiser le nombre de trajectoires periodiques de certains systemes hamiltoniens par un invariant qui ne depend que de la topologie de la variete symplectique sur laquelle evolue ce systeme. Ce livre comporte deux parties : une presentation moderne de la theorie de Morse, suivie d’une introduction a l’homologie de Floer – une theorie de Morse en dimension infinie qui est a l’origine des progres recents en geometrie symplectique et de contact; il vient combler une lacune dans la litterature, puisqu’il n’existe pas de reference absolument complete et accessible sur le sujet.

Detailed Information

Author:Michele Audin
Publication Year:2010
ISBN:9782759805181
Pages:555
Language:French
File Size:6.4
Format:PDF
Price:FREE
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