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Title The breadth of symplectic and Poisson geometry : festschrift in honor of Alan Weinstein / Jerrold E. Marsden, Tudor S. Ratiu, editors
Published Boston : Birkhäuser, ©2005

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Description 1 online resource (xxiii, 654 pages) : illustrations
Series Progress in mathematics ; v. 232
Progress in mathematics (Boston, Mass.) ; v. 232.
Contents Dirac structures, momentum maps, and quasi-Poisson manifolds -- Construction of Ricci-type connections by reduction and induction -- A mathematical model for geomagnetic reversals -- Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization -- Thompson's conjecture for real semisimple Lie groups -- The Weinstein conjecture and theorems of nearby and almost existence -- Simple singularities and integrable hierarchies -- Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation -- Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras -- Localization theorems by symplectic cuts -- Refinements of the Morse stratification of the normsquare of the moment map -- Quasi, twisted, and all that ... in Poisson geometry and Lie algebroid theory -- Minimal coadjoint orbits and symplectic induction -- Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces -- Duality and triple structures -- Star exponential functions as two-valued elements -- From momentum maps and dual pairs to symplectic and Poisson groupoids -- Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds -- The universal covering and covered spaces of a symplectic Lie algebra action -- Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan's interests -- Dirac submanifolds of Jacobi manifolds -- Quantum maps and automorphisms
Summary "Intended for graduate students and working mathematicians in symplectic and Poisson geometry as well as mechanics, this text is a distillation of prominent research and an indication of the future trends and directions in geometry, mechanics, and mathematical physics."--Jacket
Bibliography Includes bibliographical references
Notes English
Subject Symplectic geometry.
Geometric quantization.
Poisson manifolds.
MATHEMATICS -- Geometry -- Differential.
Grupos simplécticos
Cuantización geométrica
Geometric quantization
Poisson manifolds
Symplectic geometry
Geometria simpletica.
Quantização geométrica.
Symplektische Geometrie -- Aufsatzsammlung.
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Weinstein, Alan, 1943-
Marsden, Jerrold E.
Rațiu, Tudor S.
LC no. 2004046202
ISBN 0817635653
9780817635657
9780817644192
0817644199
6610945144
9786610945146
1280945141
9781280945144