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.
Inhaltsverzeichnis
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.
