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OverviewOne of the world�s foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields. Written in his honor, the invited papers in this volume reflect the active and vibrant research in these areas and are a tribute to Weinstein�s ongoing influence. The well-recognized contributors to this text cover a broad range of topics: Induction and reduction for systems with symmetry, symplectic geometry and topology, geometric quantization, the Weinstein Conjecture, Poisson algebra and geometry, Dirac structures, deformations for Lie group actions, Kahler geometry of moduli spaces, theory and applications of Lagrangian and Hamiltonian mechanics and dynamics, symplectic and Poisson groupoids, and quantum representations. Full Product DetailsAuthor: Jerrold E. Marsden , Tudor S. RatiuPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2005 ed. Volume: 232 Dimensions: Width: 15.50cm , Height: 3.60cm , Length: 23.50cm Weight: 1.184kg ISBN: 9780817635657ISBN 10: 0817635653 Pages: 654 Publication Date: 30 November 2004 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents* Preface * Academic Genealogy of Alan Weinstein * About Alan Weinstein * Bursztyn/Crainic: Dirac structures, momentum maps, and quasi-Poisson manifolds * Cahen/Gutt/Schwachhoefer: Construction of Ricci-type connections by reduction and induction * Duistermaat: A mathematical model for geomagnetic reversals * Ehlers/Koiller/Montgomery/Rios: Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization * Evens/Lu: Thompson's conjecture for real semisimple Lie groups * Ginzburg: The Weinstein conjecture and theorems of nearby and almost existence * Givental/Milanov: Simple singularities and integrable hierarchies * Holm/Marsden: Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation * Huebschmann: Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras * Jeffrey/Kogan: Localization theorems by symplectic cuts * Kirwan: Refinements of the Morse stratification of the normsquare of the moment map * Kosmann-Schwarzbach: Quasi, twisted, and all that...in Poisson geometry and Lie algebroid theory * Kostant: Minimal coadjoint orbits and symplectic induction * Laurent-Gengoux/Xu: Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces * Mackenzie: Duality and triple structures * Maeda/Miyazaki/Omori/Yoshioka: Star exponential functions as two-valued elements * Marle: From momentum maps and dual pairs to symplectic and Poisson groupoids * Oh: Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds * Ortega/Ratiu: The universal covering and covered spaces of a symplectic Liealgebra action * Stasheff: Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan's interests * Vaisman: Dirac submanifolds of Jacobi manifolds * Zelditch: Quantum maps and automorphismsReviewsThis volume will certainly be useful to a broad audience including people interested in fields such as differential geometry, mechanics, differential equations and Lie theory. ---Revue Roumaine de MathA(c)matiques Pures et AppliquA(c)es """This volume will certainly be useful to a broad audience including people interested in fields such as differential geometry, mechanics, differential equations and Lie theory."" ---Revue Roumaine de Mathématiques Pures et Appliquées" Author InformationTab Content 6Author Website:Countries AvailableAll regions |