Formality Theory From Poisson Structures to Deformation Quantization /

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...

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Main Author: Esposito, Chiara. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Mathematical Physics, 2
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-09290-4
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505 0 |a Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich’s Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index. 
520 |a 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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