Poisson structures and their normal forms

書誌事項

Poisson structures and their normal forms

Jean-Paul Dufour, Nguyen Tien Zung

(Progress in mathematics, v. 242)

Birkhäuser, c2005

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注記

Includes bibliographical references (p. [299]-316) and index

内容説明・目次

内容説明

The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. 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.

目次

Generalities on Poisson Structures.- Poisson Cohomology.- Levi Decomposition.- Linearization of Poisson Structures.- Multiplicative and Quadratic Poisson Structures.- Nambu Structures and Singular Foliations.- Lie Groupoids.- Lie Algebroids.

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