
Quantization of Singular Symplectic Quotients
Birkhäuser (Publisher)
Published on 1. November 2012
Book
Paperback/Softback
XII, 355 pages
978-3-0348-9535-4 (ISBN)
Description
This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. The reader will acquire an introduction to the various techniques used in this area, as well as an overview of the latest research approaches. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. Thus one will be amply prepared to follow future developments in this field.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2001
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XII, 355 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 21 mm
Weight
563 gr
ISBN-13
978-3-0348-9535-4 (9783034895354)
DOI
10.1007/978-3-0348-8364-1
Schweitzer Classification
Other editions
Additional editions

N.P. Landsman | Markus Pflaum | Martin Schlichenmaier
Quantization of Singular Symplectic Quotients
Book
10/2001
1st Edition
Birkhäuser
€106.99
Shipment within 10-15 days
Content
Some comments on the history, theory, and applicationsof symplectic reduction.- Homology of complete symbols and non-commutative geometry.- Cohomology of the Mumford quotient.- Poisson sigma models and symplectic groupoids.- Pseudo-differential operators and deformation quantization.- Singularities and Poisson geometry of certainrepresentation spaces.- Quantized reduction as a tensor product.- Analysis of geometric operator on open manifolds: a groupoid approach.- Smooth structures on stratified spaces.- Singular projective varieties and quantization.- Poisson structure and quantization of Chern-Simons theory.- Combinatorial quantization of Euclidean gravityin three dimensions.- The Yang-Mills measure and symplectic structureover spaces of connections.