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The breadth of symplectic and Poisson geometry : festschrift in honor of Alan Weinstein

Author: Alan Weinstein; Jerrold E Marsden; Tudor S Rațiu
Publisher: Boston : Birkhäuser, ©2005.
Series: Progress in mathematics (Boston, Mass.), v. 232.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"Intended for graduate students and working mathematicians in symplectic and Poisson geometry as well as mechanics, this text is a distillation of prominent research and an indication of the future trends and directions in geometry, mechanics, and mathematical physics."--Jacket.
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Genre/Form: Electronic books
Aufsatzsammlung
Additional Physical Format: Print version:
Breadth of symplectic and Poisson geometry.
Boston : Birkhäuser, ©2005
(DLC) 2004046202
(OCoLC)56614379
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alan Weinstein; Jerrold E Marsden; Tudor S Rațiu
ISBN: 0817635653 9780817635657 9780817644192 0817644199
OCLC Number: 406473338
Description: 1 online resource (xxiii, 654 pages) : illustrations.
Contents: Dirac structures, momentum maps, and quasi-Poisson manifolds --
Construction of Ricci-type connections by reduction and induction --
A mathematical model for geomagnetic reversals --
Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization --
Thompson{u2019}s conjecture for real semisimple Lie groups --
The Weinstein conjecture and theorems of nearby and almost existence --
Simple singularities and integrable hierarchies --
Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation --
Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras --
Localization theorems by symplectic cuts --
Refinements of the Morse stratification of the normsquare of the moment map --
Quasi, twisted, and all that ... in Poisson geometry and Lie algebroid theory --
Minimal coadjoint orbits and symplectic induction --
Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces --
Duality and triple structures --
Star exponential functions as two-valued elements --
From momentum maps and dual pairs to symplectic and Poisson groupoids --
Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds --
The universal covering and covered spaces of a symplectic Lie algebra action --
Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan{u2019}s interests --
Dirac submanifolds of Jacobi manifolds --
Quantum maps and automorphisms.
Series Title: Progress in mathematics (Boston, Mass.), v. 232.
Responsibility: Jerrold E. Marsden, Tudor S. Ratiu, editors.
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Abstract:

Cover topics including induction and reduction for systems with symmetry, symplectic geometry and topology, geometric quantization, the Weinstein Conjecture, and Poisson algebra and geometry. This  Read more...

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"This volume will certainly be useful to a broad audience including people interested in fields such as differential geometry, mechanics, differential equations and Lie theory." ---Revue Roumaine de Read more...

 
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