Quantization of singular symplectic quotients

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InhaltsverzeichnisSome 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.