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About this book
The contents touch upon many frontier domains of modern mathematics, mathematical physics and theoretical physics and include authoritative, state-of-the-art contributions by leading scientists. New and important developments in the fields of symplectic geometry, deformation quantization, noncommutative geometry (NCG) and Lie theory are presented. Among the subjects treated are: quantization of general Poisson manifolds; new deformations needed for the quantization of Nambu mechanics; quantization of intersection cardinalities; quantum shuffles; new types of quantum groups and applications; quantum cohomology; strong homotopy Lie algebras; finite- and infinite-dimensional Lie groups; and 2D field theories and applications of NCG to gravity coupled with the standard model.
Audience: This book will be of interest to researchers and post-graduate students of mathematical physics, global analysis, analysis on manifolds, topological groups, nonassociative rings and algebras, and Lie algebras.
Editors and Affiliations
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Université de Bourgogne Lab. Gevrey de Mathématique Physique, Dijon CX, France
Daniel Sternheimer
Bibliographic Information
Book Title: Deformation Theory and Symplectic Geometry
Editors: Daniel Sternheimer, John Rawnsley, Simone Gutt
Series Title: Mathematical Physics Studies
Publisher: Springer Dordrecht
Copyright Information: Springer Science+Business Media B.V. 1997
Hardcover ISBN: 978-0-7923-4525-1Published: 31 July 1997
Softcover ISBN: 978-90-481-4841-7Published: 07 December 2010
Series ISSN: 0921-3767
Series E-ISSN: 2352-3905
Edition Number: 1
Number of Pages: XIII, 368