Formality Theory

From Poisson Structures to Deformation Quantization

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Quantum Theory
Cover of the book Formality Theory by Chiara Esposito, Springer International Publishing
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Author: Chiara Esposito ISBN: 9783319092904
Publisher: Springer International Publishing Publication: September 4, 2014
Imprint: Springer Language: English
Author: Chiara Esposito
ISBN: 9783319092904
Publisher: Springer International Publishing
Publication: September 4, 2014
Imprint: Springer
Language: English

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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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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