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The Breadth of Symplectic and Poisson Geometry

Festschrift in Honor of Alan Weinstein

Specificaties
Gebonden, 654 blz. | Engels
Birkhäuser Boston | 2005e druk, 2004
ISBN13: 9780817635657
Rubricering
Birkhäuser Boston 2005e druk, 2004 9780817635657
Onderdeel van serie Progress in Mathematics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

* 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

Specificaties

ISBN13:9780817635657
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:654
Druk:2005

Inhoudsopgave

* Preface * Academic Genealogy of Alan Weinstein * About Alan Weinstein * Bursztyn/Crainic: Dirac structures, momentum maps, and quasi-Poisson manifolds * Cahen/Gutt/Schwachhöfer: 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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        The Breadth of Symplectic and Poisson Geometry