Table of contents

About this book


Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.


Lie Lie theory Manifold Poisson structure cohomology geometry homology

Authors and affiliations

  • Jean-Paul Dufour
    • 1
  • Nguyen Tien Zung
    • 2
  1. 1.Département de mathématiqueUniversité de MontpellierMontpellierFrance
  2. 2.Laboratoire Émile Picard, UMR 5580 CNRSInstitut de Mathématiques Université Paul SabatierToulouseFrance

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Verlag 2005
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7334-4
  • Online ISBN 978-3-7643-7335-1
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site