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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Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57634
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spelling oai:scholar.dlu.edu.vn:DLU123456789-576342023-11-11T05:47:25Z Formality Theory:From Poisson Structures to Deformation Quantization Poisson manifolds Poisson algebras Geometric 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 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 2015-08-19T07:56:45Z 2015-08-19T07:56:45Z 2015 Book 978-3-319-09290-4 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57634 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Poisson manifolds
Poisson algebras
Geometric quantization
spellingShingle Poisson manifolds
Poisson algebras
Geometric quantization
Formality Theory:From Poisson Structures to Deformation Quantization
description 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
format Book
title Formality Theory:From Poisson Structures to Deformation Quantization
title_short Formality Theory:From Poisson Structures to Deformation Quantization
title_full Formality Theory:From Poisson Structures to Deformation Quantization
title_fullStr Formality Theory:From Poisson Structures to Deformation Quantization
title_full_unstemmed Formality Theory:From Poisson Structures to Deformation Quantization
title_sort formality theory:from poisson structures to deformation quantization
publisher Springer
publishDate 2015
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57634
_version_ 1782538313621569536