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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
Attention for Chapter 20: Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests
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Chapter title
Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests
Chapter number 20
Book title
The Breadth of Symplectic and Poisson Geometry
Published by
Birkhäuser Boston, January 2005
DOI 10.1007/0-8176-4419-9_20
Book ISBNs
978-0-8176-3565-7, 978-0-8176-4419-2
Authors

Jim Stasheff

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 17%
Italy 1 17%
Unknown 4 67%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 50%
Professor 2 33%
Professor > Associate Professor 1 17%
Readers by discipline Count As %
Mathematics 4 67%
Physics and Astronomy 1 17%
Engineering 1 17%