Volume 232 2005

The Breadth of Symplectic and Poisson Geometry

Festschrift in Honor of Alan Weinstein

Editors:

ISBN: 978-0-8176-3565-7 (Print) 978-0-8176-4419-2 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xxiii

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    Book Chapter

    Pages 1-40

    Dirac structures, momentum maps, and quasi-Poisson manifolds

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    Pages 41-57

    Construction of Ricci-type connections by reduction and induction

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    Pages 59-73

    A mathematical model for geomagnetic reversals

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    Pages 75-120

    Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization

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    Pages 121-137

    Thompson’s conjecture for real semisimple Lie groups

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    Pages 139-172

    The Weinstein conjecture and theorems of nearby and almost existence

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    Pages 173-201

    Simple singularities and integrable hierarchies

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    Pages 203-235

    Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation

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    Pages 237-302

    Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras

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    Pages 303-326

    Localization theorems by symplectic cuts

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    Pages 327-362

    Refinements of the Morse stratification of the normsquare of the moment map

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    Pages 363-389

    Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory

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    Pages 391-422

    Minimal coadjoint orbits and symplectic induction

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    Pages 423-454

    Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces

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    Pages 455-481

    Duality and triple structures

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    Pages 483-492

    Star exponential functions as two-valued elements

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    Pages 493-523

    From momentum maps and dual pairs to symplectic and Poisson groupoids

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    Pages 525-570

    Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds

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    Pages 571-581

    The universal covering and covered spaces of a symplectic Lie algebra action

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    Pages 583-601

    Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests

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