Formality Theory

From Poisson Structures to Deformation Quantization

Chiara Esposito

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ca. 58,84
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory of Poisson manifolds, star products and their classification, deformations of associative algebras and the formality theorem. Readers will also be familiarized with the relevant physical motivations underlying the purely mathematical construction.

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Schlagwörter

Hschild-Kostant-Rosenberg Theorem, Hochshild Complex, Kontsevich Formula, Maurer-Cartan Equation, Schouten Bracket, Poisson Brackets, Poisson Manifolds, Formality Theory