The breadth of symplectic and Poisson geometry : festschrift in honor of Alan Weinstein / Jerrold E. Marsden, Tudor S. Ratiu

Auteur secondaire : Ratiu, Tudor Stefan, 1950-, Editeur scientifique • Weinstein, Alan, 1943-, Personne honorée • Marsden, Jerrold E., 1942-2010, Editeur scientifiqueType de document : Livre numériqueCollection : Progress in mathematics, 232Langue : anglais.Éditeur : Boston : Birkhäuser, 2007ISBN: 9780817644192.ISSN: 0743-1643.Sujet MSC : 53-06, Proceedings, conferences, collections, etc. pertaining to differential geometry
00B30, Conference proceedings and collections of papers, Festschriften
37-06, Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory
37J06, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, General theory, Hamiltonian and Lagrangian structures, symmetries, invariants
53Dxx, Differential geometry - Symplectic geometry, contact geometry
En-ligne : Springerlink
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Contents: Jerry Marsden and Tudor Ratiu, Preface (ix–xxiii); Henrique Bursztyn and Marius Crainic, Dirac structures, momentum maps, and quasi-Poisson manifolds (1–40); Michel Cahen, Simone Gutt and Lorenz Schwachhöfer, Construction of Ricci-type connections by reduction and induction (41–57); J. J. Duistermaat, A mathematical model for geomagnetic reversals (59–73); Kurt Ehlers, Jair Koiller, Richard Montgomery and Pedro M. Rios [Pedro de M. Rios], Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization (75–120); Sam Evens and Jiang-Hua Lu, Thompson's conjecture for real semisimple Lie groups (121–137); Viktor L. Ginzburg, The Weinstein conjecture and theorems of nearby and almost existence (139–172); Alexander B. Givental and Todor E. Milanov, Simple singularities and integrable hierarchies (173–201); Darryl D. Holm and Jerrold E. Marsden, Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation (203–235); Johannes Huebschmann, Higher homotopies and Maurer-Cartan algebras: quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras (237–302); Lisa Jeffrey and Mikhail Kogan, Localization theorems by symplectic cuts (303–326); Frances Kirwan, Refinements of the Morse stratification of the normsquare of the moment map (327–362); Yvette Kosmann-Schwarzbach, Quasi, twisted, and all that…in Poisson geometry and Lie algebroid theory (363–389); Bertram Kostant, Minimal coadjoint orbits and symplectic induction (391–422); Camille Laurent-Gengoux and Ping Xu [Ping Xu1], Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces (423–454); Kirill C. H. Mackenzie, Duality and triple structures (455–481); Y. Maeda [Yoshiaki Maeda], N. Miyazaki [Naoya Miyazaki], H. Omori and A. Yoshioka [Akira Yoshioka], Star exponential functions as two-valued elements (483–492); Charles-Michel Marle, From momentum maps and dual pairs to symplectic and Poisson groupoids (493–523); Yong-Geun Oh, Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds (525–570); Juan-Pablo Ortega and Tudor S. Ratiu, The universal covering and covered spaces of a symplectic Lie algebra action (571–581); Jim Stasheff, Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan's interests (583–601); Izu Vaisman, Dirac submanifolds of Jacobi manifolds (603–622); Steve Zelditch, Quantum maps and automorphisms (623–654).

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