Hamiltonian Reduction by Stages
| By: | Jerrold E. Marsden; Gerard Misiolek; Juan-Pablo Ortega; Matthew Perlmutter; Tudor S. Ratiu |
| Publisher: | Springer Nature |
| Print ISBN: | 9783540724698 |
| eText ISBN: | 9783540724704 |
| Edition: | 0 |
| Copyright: | 2007 |
| Format: | Page Fidelity |
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In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages.