Hamiltonian Reduction by Stages

von Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu

524 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540724698
• Sprache: Englisch
• Erscheinungsdatum: 29.06.2007
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin