Progress in Mathematics Quantization of Singular Symplectic Quotients

An exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. It provides the reader with an overview of research approaches that involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. 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.