Overview
- A modern treatment of Poisson geometry
- Contains results obtained over the past 10 years which are not available in other books
- Even when it comes to classical results, the book gives new insights
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 242)
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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.
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Table of contents (8 chapters)
Authors and Affiliations
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Bibliographic Information
Book Title: Poisson Structures and Their Normal Forms
Authors: Jean-Paul Dufour, Nguyen Tien Zung
Editors: H. Bass, J. Oesterlé, A. Weinstein
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/b137493
Publisher: BirkhÀuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: BirkhÀuser Basel 2005
Hardcover ISBN: 978-3-7643-7334-4Published: 16 September 2005
eBook ISBN: 978-3-7643-7335-1Published: 17 January 2006
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XV, 324
Topics: Topological Groups, Lie Groups