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Lectures on the Geometry of Poisson Manifolds

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Cover of 'Lectures on the Geometry of Poisson Manifolds'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Poisson Bivector and the Schouten-Nijenhuis Bracket
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    Chapter 3 The Symplectic Foliation of a Poisson Manifold
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    Chapter 4 Examples of Poisson Manifolds
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    Chapter 5 Poisson Calculus
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    Chapter 6 Poisson Cohomology
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    Chapter 7 An Introduction to Quantization
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    Chapter 8 Poisson Morphisms, Coinduced Structures, Reduction
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    Chapter 9 Symplectic Realizations of Poisson Manifolds
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    Chapter 10 Realizations of Poisson Manifolds by Symplectic Groupoids
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    Chapter 11 Poisson-Lie Groups
Attention for Chapter 5: Poisson Calculus
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