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The Breadth of Symplectic and Poisson Geometry

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Cover of 'The Breadth of Symplectic and Poisson Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Dirac structures, momentum maps, and quasi-Poisson manifolds
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    Chapter 2 Construction of Ricci-type connections by reduction and induction
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    Chapter 3 A mathematical model for geomagnetic reversals
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    Chapter 4 Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization
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    Chapter 5 Thompson’s conjecture for real semisimple Lie groups
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    Chapter 6 The Weinstein conjecture and theorems of nearby and almost existence
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    Chapter 7 Simple singularities and integrable hierarchies
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    Chapter 8 Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation
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    Chapter 9 Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras
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    Chapter 10 Localization theorems by symplectic cuts
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    Chapter 11 Refinements of the Morse stratification of the normsquare of the moment map
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    Chapter 12 Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory
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    Chapter 13 Minimal coadjoint orbits and symplectic induction
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    Chapter 14 Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces
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    Chapter 15 Duality and triple structures
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    Chapter 16 Star exponential functions as two-valued elements
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    Chapter 17 From momentum maps and dual pairs to symplectic and Poisson groupoids
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    Chapter 18 Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds
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    Chapter 19 The universal covering and covered spaces of a symplectic Lie algebra action
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    Chapter 20 Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests
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    Chapter 21 Dirac submanifolds of Jacobi manifolds
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    Chapter 22 Quantum maps and automorphisms
Overall attention for this book and its chapters
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Summary Wikipedia
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Title
The Breadth of Symplectic and Poisson Geometry
Published by
Birkhäuser Boston, July 2007
DOI 10.1007/b138687
ISBNs
978-0-8176-3565-7, 978-0-8176-4419-2
Editors

Marsden, Jerrold E., Ratiu, Tudor S.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 10 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 10 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 40%
Researcher 2 20%
Other 2 20%
Lecturer > Senior Lecturer 1 10%
Unknown 1 10%
Readers by discipline Count As %
Mathematics 7 70%
Physics and Astronomy 1 10%
Engineering 1 10%
Unknown 1 10%

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