Quantization of Singular Symplectic Quotients

372 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Progress in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Geometrie
• ISBN: 9783034895354
• Sprache: Englisch
• Erscheinungsdatum: 01.11.2012
• Größe: 235 x 155 mm
• Verlag: Birkhäuser
• Herausgegeben von: N. P. Landsman, Martin Schlichenmaier, Markus Pflaum