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  • © 2005

The Breadth of Symplectic and Poisson Geometry

Festschrift in Honor of Alan Weinstein

Birkhäuser
  • 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

Part of the book series: Progress in Mathematics (PM, volume 232)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Dirac structures, momentum maps, and quasi-Poisson manifolds

    • Henrique Bursztyn, Marius Crainic
    Pages 1-40
  3. Construction of Ricci-type connections by reduction and induction

    • Michel Cahen, Simone Gutt, Lorenz Schwachhöfer
    Pages 41-57
  4. A mathematical model for geomagnetic reversals

    • J. J. Duistermaat
    Pages 59-73
  5. Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization

    • Kurt Ehlers, Jair Koiller, Richard Montgomery, Pedro M. Rios
    Pages 75-120
  6. Thompson’s conjecture for real semisimple Lie groups

    • Sam Evens, Jiang-Hua Lu
    Pages 121-137
  7. Simple singularities and integrable hierarchies

    • Alexander B. Givental, Todor E. Milanov
    Pages 173-201
  8. Localization theorems by symplectic cuts

    • Lisa Jeffrey, Mikhail Kogan
    Pages 303-326
  9. Duality and triple structures

    • Kirill C. H. Mackenzie
    Pages 455-481
  10. Star exponential functions as two-valued elements

    • Y. Maeda, N. Miyazaki, H. Omori, A. Yoshioka
    Pages 483-492

About this book

One of the world’s foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields. Written in his honor, the invited papers in this volume reflect the active and vibrant research in these areas and are a tribute to Weinstein’s ongoing influence.

The well-recognized contributors to this text cover a broad range of topics: Induction and reduction for systems with symmetry, symplectic geometry and topology, geometric quantization, the Weinstein Conjecture, Poisson algebra and geometry, Dirac structures, deformations for Lie group actions, Kähler geometry of moduli spaces, theory and applications of Lagrangian and Hamiltonian mechanics and dynamics, symplectic and Poisson groupoids, and quantum representations.

Reviews

"This volume will certainly be useful to a broad audience including people interested in fields such as differential geometry, mechanics, differential equations and Lie theory." ---Revue Roumaine de Mathématiques Pures et Appliquées

Editors and Affiliations

  • Department of Engineering and Applied Science Control and Dynamical Systems, California Institute of Technology, Pasadena, USA

    Jerrold E. Marsden

  • Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Tudor S. Ratiu

Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access