Marsden, Jerrold E.

The Breadth of Symplectic and Poisson Geometry

Marsden, Jerrold E. - The Breadth of Symplectic and Poisson Geometry, ebook


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ISBN: 9780817644192
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Table of contents

1. Dirac structures, momentum maps, and quasi-Poisson manifolds
Henrique Bursztyn, Marius Crainic

2. Construction of Ricci-type connections by reduction and induction
Michel Cahen, Simone Gutt, Lorenz Schwachhöfer

3. A mathematical model for geomagnetic reversals
J. J. Duistermaat

4. Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization
Kurt Ehlers, Jair Koiller, Richard Montgomery, Pedro M. Rios

5. Thompson’s conjecture for real semisimple Lie groups
Sam Evens, Jiang-Hua Lu

6. The Weinstein conjecture and theorems of nearby and almost existence
Viktor L. Ginzburg

7. Simple singularities and integrable hierarchies
Alexander B. Givental, Todor E. Milanov

8. Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation
Darryl D. Holm, Jerrold E. Marsden

9. Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras
Johannes Huebschmann

10. Localization theorems by symplectic cuts
Lisa Jeffrey, Mikhail Kogan

11. Refinements of the Morse stratification of the normsquare of the moment map
Frances Kirwan

12. Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory
Yvette Kosmann-Schwarzbach

13. Minimal coadjoint orbits and symplectic induction
Bertram Kostant

14. Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces
Camille Laurent-Gengoux, Ping Xu

15. Duality and triple structures
Kirill C. H. Mackenzie

16. Star exponential functions as two-valued elements
Y. Maeda, N. Miyazaki, H. Omori, A. Yoshioka

17. From momentum maps and dual pairs to symplectic and Poisson groupoids
Charles-Michel Marle

18. Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds
Yong-Geun Oh

19. The universal covering and covered spaces of a symplectic Lie algebra action
Juan-Pablo Ortega, Tudor S. Ratiu

20. Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests
Jim Stasheff

21. Dirac submanifolds of Jacobi manifolds
Izu Vaisman

22. Quantum maps and automorphisms
Steve Zelditch


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Keywords: MATHEMATICS / General MAT000000

Publication year
Natural Sciences

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