Symplectic Geometry, Groupoids, and Integrable Systems

Séminaire Sud Rhodanien de Géométrie à Berkeley (1989)

Pierre Dazord, Alan Weinstein (Herausgeber)

Buch | Hardcover

311 Seiten

1991
Springer-Verlag New York Inc.
978-0-387-97526-9 (ISBN)

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The papers, some of which are in English, the rest in French, in this volume are based on lectures given during the meeting of the Seminare Sud Rhodanien de Geometrie (SSRG) organized at the Mathematical Sciences Research Institute in 1989. The SSRG was established in 1982 by geometers and mathematical physicists with the aim of developing and coordinating research in symplectic geometry and its applications to analysis and mathematical physics. Among the subjects discussed at the meeting, a special role was given to the theory of symplectic groupoids, the subject of fruitful collaboration involving geometers from Berkeley, Lyon, and Montpellier.

Groupoïdes de Lie et Groupoïdes Symplectiques.- Géométrie Globale des Systèmes Hamiltoniens complètement Intégrables et Variables Action-Angle avec Singularités.- Sur Quelques Questions de Géométrie Symplectique.- Intégration Symplectique Des Variétés de Poisson Totalement Asphériques.- La Première Classe de Chern Comme Obstruction à la Quantification Asymptotique.- Groupes de Poisson Affines.- Singular Lagrangian Foliation Associated to An Integrable Hamiltonian Vector Field.- Hyperbolic Actions of Rp on Poisson Manifolds.- Compactification D’actions de ?n et Variables Action-Angle avec Singularités.- On the Diameter of the Symplectomorphism Group of the Ball.- A Symplectic Analogue of the Mostow-Palais Theorem.- Melnikov Formulas for Nearly Integrable Hamiltonian Systems.- A Non-Linear Hadamard Theorem.- Equivariant Prequantization.- Momentum Mappings and Reduction of Poisson Actions.- On Jacobi Manifolds and Jacobi Bundles.- Groupes de Lie à Structure Symplectique Invariante.- Holonomy Groupoids of Generalized Foliations. II. Transverse Measures and Modular Classes.- Symplectic Groupoids, Geometric Quantization and Irrational Rotation Algebras.- Morita Equivalent Symplectic Groupoids.

Reihe/Serie	Mathematical Sciences Research Institute Publications ; 20
Zusatzinfo	XI, 311 p.
Verlagsort	New York, NY
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-387-97526-8 / 0387975268
ISBN-13	978-0-387-97526-9 / 9780387975269
Zustand	Neuware