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 (3 chapters)

  • Simple singularities and integrable hierarchies

    Alexander B. Givental, Todor E. Milanov

    Pages 173-201

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

    Johannes Huebschmann

    Pages 237-302

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

    Yvette Kosmann-Schwarzbach

    Pages 363-389

Buy this book

eBook n/a
  • ISBN 978-0-8176-4419-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-0-8176-3565-7
  • Free shipping for individuals worldwide
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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 and Tables
30 b/w illustrations
Topics