Formality Theory: From Poisson Structures to Deformation Quantization
Chiara Esposito
Sep 2014 · SpringerBriefs in Mathematical Physics Book 2 · Springer
Ebook
90
Pages
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About this ebook
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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