Quantization of Singular Symplectic Quotients by N.P. LandsmanQuantization of Singular Symplectic Quotients by N.P. Landsman

Quantization of Singular Symplectic Quotients

byN.P. LandsmanEditorMarkus Pflaum, MARTIN SCHLICHENMAIER

Paperback | November 1, 2012

Pricing and Purchase Info

$198.18 online 
$206.95 list price
Earn 991 plum® points

Prices and offers may vary in store


In stock online

Ships free on orders over $25

Not available in stores


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.

Title:Quantization of Singular Symplectic QuotientsFormat:PaperbackDimensions:355 pagesPublished:November 1, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034895356

ISBN - 13:9783034895354


Table of Contents

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.