The breadth of symplectic and poisson geometry : Festschrift in honor of Alan Weinstein
著者
書誌事項
The breadth of symplectic and poisson geometry : Festschrift in honor of Alan Weinstein
（Progress in mathematics, v. 232）
Birkhäuser, c2005
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注記
"Alan Weinstein's publications": p. xvi-xxiii
Includes bibliographical references
内容説明・目次
内容説明
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world's foremost geometers
* Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields
* Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics
目次
* 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 automorphisms
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