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Lectures on symplectic geometry

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Cover of 'Lectures on symplectic geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Symplectic Forms
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    Chapter 2 Symplectic Form on the Cotangent Bundle
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    Chapter 3 Lagrangian Submanifolds
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    Chapter 4 Generating Functions
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    Chapter 5 Recurrence
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    Chapter 6 Preparation for the Local Theory
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    Chapter 7 Moser Theorems
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    Chapter 8 Darboux-Moser-Weinstein Theory
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    Chapter 9 Weinstein Tubular Neighborhood Theorem
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    Chapter 10 Contact Forms
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    Chapter 11 Contact Dynamics
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    Chapter 12 Almost Complex Structures
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    Chapter 13 Compatible Triples
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    Chapter 14 Dolbeault Theory
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    Chapter 15 Complex Manifolds
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    Chapter 16 Kähler Forms
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    Chapter 17 Compact Kähler Manifolds
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    Chapter 18 Hamiltonian Vector Fields
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    Chapter 19 Variational Principles
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    Chapter 20 Legendre Transform
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    Chapter 21 Actions
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    Chapter 22 Hamiltonian Actions
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    Chapter 23 The Marsden-Weinstein-Meyer Theorem
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    Chapter 24 Reduction
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    Chapter 25 Moment Map in Gauge Theory
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    Chapter 26 Existence and Uniqueness of Moment Maps
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    Chapter 27 Convexity
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    Chapter 28 Classification of Symplectic Toric Manifolds
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    Chapter 29 Delzant Construction
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    Chapter 30 Duistermaat-Heckman Theorems
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Title
Lectures on symplectic geometry
Published by
Springer, January 2001
DOI 10.1007/978-3-540-45330-7
ISBNs
978-3-54-042195-5, 978-3-54-045330-7
Authors

Silva, Ana Cannas da, Ana Cannas da Silva, Silva, Ana Cannas

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 100%
Readers by discipline Count As %
Mathematics 1 50%
Physics and Astronomy 1 50%