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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Detalles Bibliográficos
Autor principal: Esposito, Chiara
Lenguaje:eng
Publicado: Springer 2015
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-09290-4
http://cds.cern.ch/record/1968938
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author Esposito, Chiara
author_facet Esposito, Chiara
author_sort Esposito, Chiara
collection CERN
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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-19689382021-04-21T20:49:12Zdoi:10.1007/978-3-319-09290-4http://cds.cern.ch/record/1968938engEsposito, ChiaraFormality theory: from Poisson structures to deformation quantizationMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:19689382015
spellingShingle Mathematical Physics and Mathematics
Esposito, Chiara
Formality theory: from Poisson structures to deformation quantization
title 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_short Formality theory: from Poisson structures to deformation quantization
title_sort formality theory: from poisson structures to deformation quantization
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-09290-4
http://cds.cern.ch/record/1968938
work_keys_str_mv AT espositochiara formalitytheoryfrompoissonstructurestodeformationquantization

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