| 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.
|
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Poisson manifolds.
|
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MATHEMATICS -- Geometry -- Differential.
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Grupos simplécticos
|
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Cuantización geométrica
|
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Geometric quantization
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Poisson manifolds
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Symplectic geometry
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Geometria simpletica.
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Quantização geométrica.
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Symplektische Geometrie -- Aufsatzsammlung.
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| 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 |
|
