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Integrable Systems

The Verdier Memorial Conference Actes du Colloque International de Luminy

  • Book
  • © 1993

Overview

Editors:
  1. Olivier Babelon

    1. L.P.T.H.E. Tour 16, CNRS-Université de Paris VI, Paris Cedex 05, France

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  2. Yvette Kosmann-Schwarzbach

    1. Centre de Mathématiques, Ecole Polytechnique, Palaiseau, France

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  3. Pierre Cartier

    1. Ecole Normale Supérieure de Paris, Paris Cedex, France

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Part of the book series: Progress in Mathematics (PM, volume 115)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    1. Front Matter

      Pages 37-37
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    2. Hommage à Jean-Louis Verdier : au jardin des systèmes intégrables

      • Daniel Bennequin
      Pages 1-36

  3. Algebro-Geometric Methods and tau-functions

    1. Front Matter

      Pages 37-37
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    2. Compactified Jacobians of Tangential Covers

      • Armando Treibich
      Pages 39-59

    3. Heisenberg Action and Verlinde Formulas

      • Bert van Geemen, Emma Previato
      Pages 61-80

    4. Hyperelliptic Curves that Generate Constant Mean Curvature Tori in ℝ3

      • N. M. Ercolani, H. Knörrer, E. Trubowitz
      Pages 81-114

    5. Modular Forms as τ-Functions for Certain Integrable Reductions of the Yang-Mills Equations

      • Leon A. Takhtajan
      Pages 115-129

    6. The τ-Functions of the gAKNS Equations

      • George Wilson
      Pages 131-145

    7. On Segal-Wilson’s Definition of the τ-Function and Hierarchies AKNS-D and mcKP

      • L. A. Dickey
      Pages 147-161

    8. The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization

      • Pierre van Moerbeke
      Pages 163-177

  4. Hamiltonian Methods

    1. Front Matter

      Pages 179-179
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    2. The Geometry of the Full Kostant-Toda Lattice

      • N. M. Ercolani, H. Flaschka, S. Singer
      Pages 181-225

    3. Deformations of a Hamiltonian Action of a Compact Lie Group

      • Victor Guillemin
      Pages 227-233

    4. Linear-Quadratic Metrics “Approximate” any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus

      • A. T. Fomenko
      Pages 235-237

    5. Canonical Forms for Bihamiltonian Systems

      • Peter J. Olver
      Pages 239-249

    6. Bihamiltonian Manifolds And Sato’s Equations

      • Paolo Casati, Franco Magri, Marco Pedroni
      Pages 251-272
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Keywords

Editors and Affiliations

  • L.P.T.H.E. Tour 16, CNRS-Université de Paris VI, Paris Cedex 05, France

    Olivier Babelon

  • Centre de Mathématiques, Ecole Polytechnique, Palaiseau, France

    Yvette Kosmann-Schwarzbach

  • Ecole Normale Supérieure de Paris, Paris Cedex, France

    Pierre Cartier

Bibliographic Information

  • Book Title: Integrable Systems

  • Book Subtitle: The Verdier Memorial Conference Actes du Colloque International de Luminy

  • Editors: Olivier Babelon, Yvette Kosmann-Schwarzbach, Pierre Cartier

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0315-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1993

  • Hardcover ISBN: 978-0-8176-3653-1Published: 01 February 1993

  • Softcover ISBN: 978-1-4612-6703-4Published: 01 November 2012

  • eBook ISBN: 978-1-4612-0315-5Published: 14 March 2013

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XIII, 370

  • Topics: General Algebraic Systems, Integral Transforms, Operational Calculus

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