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Formality Theory: From Poisson Structures to Deformation Quantization.
・ISBN 978-3-319-09289-8 paper EUR 59.99
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| 著者・編者 | Esposito, Chiara, |
|---|---|
| シリーズ | (SpringerBriefs in Mathematical Physics) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2014 |
| ページ数 | 90 pp. |
| 言語 | ENG |
| ニュース番号 | <A05-46684> |
解説
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.