Formality Theory
Chiara Esposito
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Springer International Publishing
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.
Kundenbewertungen
Formality Theory, Hochshild Complex, Maurer-Cartan Equation, Kontsevich Formula, Poisson Manifolds, Schouten Bracket, Poisson Brackets, Hschild-Kostant-Rosenberg Theorem