Hamiltonian reduction by stages

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Bibliographic Details
Corporate Authors: SpringerLink (Online service)
Group Author: Marsden Jerrold E.
Published: Springer Verlag,
Publisher Address: Berlin New York
Publication Dates: c2007.
Literature type: Book
Language: English
Series: Lecture notes in mathematics ; 1913
Subjects:
Online Access: http://dx.doi.org/10.1007/978-3-540-72470-4
Carrier Form: xv, 519 p.: ill. ; 24 cm.
ISBN: 9783540724704 (electronic bk.)
3540724702 (electronic bk.)
Index Number: O151
CLC: O151.21
Contents: Includes bibliographical references (p. [483]-508) and index.
Pt. 1. Background and the problem setting -- Symplectic reduction -- Cotangent bundle reduction -- The problem setting -- Pt. 2. Regular symplectic reduction by stages -- Commuting reduction and semidirect product theory -- Regular reduction by stages -- Group extensions and the stages hypothesis -- Magnetic cotangent bundle reduction -- Stages and coadjoint orbits of central extensions -- Examples -- Stages and semidirect products with cocycles -- Reduction by stages via symplectic distributions reduction by stages with topological conditions -- Pt. 3. Optimal reduction and singular reduction by stages / Juan-Pablo Ortega -- The optimal momentum map and point reduction -- Optimal orbit reduction -- Optimal reduction by stages.