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Formality theory from poisson structures to deformation quantization / [electronic resource] :

  • 作者: Esposito, Chiara.
  • 其他作者:
  • 其他題名:
    • SpringerBriefs in mathematical physics,
  • 出版: Cham : Springer International Publishing :Imprint: Springer
  • 叢書名: SpringerBriefs in mathematical physics,v.2
  • 主題: Poisson manifolds. , Poisson algebras. , Geometric quantization , Quantum groups. , Physics , Quantum Field Theories, String Theory. , Mathematical physics , Functional analysis
  • ISBN: 9783319092904 (electronic bk.) 、 9783319092898 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich's Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index.
  • 摘要註: 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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  • 系統號: 005127132 | 機讀編目格式
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