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Lectures on the geometry of Poisson manifolds /

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This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable...

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Bibliographic Details
Main Author: Vaisman, Izu
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser Verlag, [1994]
Series:Progress in mathematics (Boston, Mass.) ; v. 118.
Subjects:
Poisson manifolds.
Poisson, variétés de.
Manifolds.
Poisson-Mannigfaltigkeit.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 0. Introduction
  • 1. The Poisson bivector and the Schouten-Nijenhuis bracket
  • 2. The symplectic foliation of a Poisson manifold
  • 3. Examples of Poisson manifolds
  • 4. Poisson calculus
  • 5. Poisson cohomology
  • 6. An introduction to quantization
  • 7. Poisson morphisms, coinduced structures, reduction
  • 8. Symplectic realizations of Poisson manifolds
  • 9. Realizations of Poisson manifolds by symplectic groupoids
  • 10. Poisson-Lie groups.