Quantization of Singular Symplectic Quotients

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.