The Breadth of Symplectic and Poisson Geometry
Subtitle: Festschrift in Honor of Alan Weinstein (Progress in Mathematics)
Contributors: Jerrold E. Marsden (Editor); Tudor S. Ratiu (Editor)
Edition: 1 edition
Publisher: Birkhäuser Boston
Published: November 30, 2004
Language: eng
Format: Hardcover
Number of pages: 654
ISBN-13: 9780817635657
Subjects: Differential & Riemannian geometry; Poisson manifolds; Geometry - Analytic; Mathematics; Science/Mathematics; Applied; Geometry - General; Mathematics / Geometry / Differential; Geometric quantization; Symplectic geometry
First sentence: This paper builds on three ideas pursued by Alan Weinstein in some of his many fundamental contributions to Poisson geometry: First, Lie algebroids play a prominent role in the study of Poisson manifolds [8, 30]; second, Poisson maps can be regarded as generalized momentum maps for actions of symplectic groupoids [25, 31]; third, Poisson structures on manifolds are particular examples of more general objects called Dirac structures [12, 13, 28].