© 2005

The Breadth of Symplectic and Poisson Geometry

Festschrift in Honor of Alan Weinstein

  • Jerrold E. Marsden
  • Tudor S. Ratiu

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

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Henrique Bursztyn, Marius Crainic
    Pages 1-40
  3. Michel Cahen, Simone Gutt, Lorenz Schwachhöfer
    Pages 41-57
  4. J. J. Duistermaat
    Pages 59-73
  5. Kurt Ehlers, Jair Koiller, Richard Montgomery, Pedro M. Rios
    Pages 75-120
  6. Sam Evens, Jiang-Hua Lu
    Pages 121-137
  7. Alexander B. Givental, Todor E. Milanov
    Pages 173-201
  8. Lisa Jeffrey, Mikhail Kogan
    Pages 303-326
  9. Kirill C. H. Mackenzie
    Pages 455-481
  10. 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.

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.


Algebroid Area Kähler geometry group Volume differential geometry manifold mathematical physics symplectic geometry

Editors and affiliations

  • Jerrold E. Marsden
    • 1
  • Tudor S. Ratiu
    • 2
  1. 1.Department of Engineering and Applied Science Control and Dynamical SystemsCalifornia Institute of TechnologyPasadenaUSA
  2. 2.Département de MathématiquesEcole Polytechnique Fédérale de LausanneLausanneSwitzerland

Bibliographic information


"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