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Cover image for book Formality Theory

Formality Theory

From Poisson Structures to Deformation Quantization
By:Chiara Esposito
Publisher:Springer Nature
Print ISBN:9783319092898
eText ISBN:9783319092904
Edition:0
Copyright:2015
Format:Reflowable

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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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