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Progress in Mathematics

The Breadth of Symplectic and Poisson Geometry

Festschrift in Honor of Alan Weinstein

Editors: Marsden, J.E., Ratiu, Tudor (Eds.)

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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.

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.

Contributors: H. Bursztyn, M. Cahen, M. Crainic, J. J. Duistermaat, K. Ehlers, S. Evens, V. L. Ginzburg, A. B. Givental, S. Gutt, D. D. Holm, J. Huebschmann, L. Jeffrey, F. Kirwan, M. Kogan, J. Koiller, Y. Kosmann-Schwarzbach, B. Kostant, C. Laurent-Gengoux, J-H. Lu, J. E. Marsden, K. C. H. Mackenzie, Y. Maeda, C-M. Marle, T. E. Milanov, N. Miyazaki, R. Montgomery, Y-G. Oh, J-P. Ortega, H. Omori, T. S. Ratiu, P. M. Rios, L. Schwachhöfer, J. Stasheff, I. Vaisman, A. Yoshioka, P. Xu, and S. Zelditch.

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

Table of contents (22 chapters)

Table of contents (22 chapters)
  • Dirac structures, momentum maps, and quasi-Poisson manifolds

    Pages 1-40

    Bursztyn, Henrique (et al.)

  • Construction of Ricci-type connections by reduction and induction

    Pages 41-57

    Cahen, Michel (et al.)

  • A mathematical model for geomagnetic reversals

    Pages 59-73

    Duistermaat, J. J.

  • Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization

    Pages 75-120

    Ehlers, Kurt (et al.)

  • Thompson’s conjecture for real semisimple Lie groups

    Pages 121-137

    Evens, Sam (et al.)

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-0-8176-4419-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-0-8176-3565-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Breadth of Symplectic and Poisson Geometry
Book Subtitle
Festschrift in Honor of Alan Weinstein
Editors
  • J.E. Marsden
  • Tudor Ratiu
Series Title
Progress in Mathematics
Series Volume
232
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4419-2
DOI
10.1007/b138687
Hardcover ISBN
978-0-8176-3565-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XXIII, 654
Number of Illustrations
30 b/w illustrations
Topics

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