Lecture Notes in Mathematics

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

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.

Details

Published by: Springer

Publication Date: 2007-06-29

Format: Paperback

ISBN-13: 9783540724698

DOI: 10.1007/978-3-540-72470-4

Dimensions: 235cm x155cm

Pages: 524