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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 ma… Más…

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Formality Theory - libro nuevo

ISBN: 9783319092904

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 ma… Más…

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Chiara Esposito:
Formality Theory - libro nuevo

2015

ISBN: 9783319092904

*Formality Theory* - From Poisson Structures to Deformation Quantization. Auflage 2015 / pdf eBook für 63.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bü… Más…

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Chiara Esposito:
Formality Theory - libro nuevo

2014, ISBN: 9783319092904

From Poisson Structures to Deformation Quantization, eBooks, eBook Download (PDF), 2015, [PU: Springer International Publishing], Seiten: 90, Springer International Publishing, 2014

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Formality Theory: From Poisson Structures to Deformation Quantization Chiara Esposito Author
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9783319092904

Detalles del libro - Formality Theory: From Poisson Structures to Deformation Quantization Chiara Esposito Author


EAN (ISBN-13): 9783319092904
ISBN (ISBN-10): 3319092901
Año de publicación: 9
Editorial: Springer-Verlag New York, LLC Digital >16

Libro en la base de datos desde 2015-03-18T16:13:09+01:00 (Madrid)
Página de detalles modificada por última vez el 2024-03-27T21:17:11+01:00 (Madrid)
ISBN/EAN: 9783319092904

ISBN - escritura alterna:
3-319-09290-1, 978-3-319-09290-4
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: esposito, schouten
Título del libro: deformation theory

Datos del la editorial

Autor: Chiara Esposito
Título: SpringerBriefs in Mathematical Physics; Formality Theory - From Poisson Structures to Deformation Quantization
Editorial: Springer; Springer International Publishing
90 Páginas
Año de publicación: 2014-09-04
Cham; CH
Idioma: Inglés
64,19 € (DE)
66,00 € (AT)
71,00 CHF (CH)
Available
XII, 90 p. 4 illus.

EA; E107; eBook; Nonbooks, PBS / Physik, Astronomie/Theoretische Physik; Teilchen- und Hochenergiephysik; Verstehen; Formality Theory; Hochshild Complex; Hschild-Kostant-Rosenberg Theorem; Kontsevich Formula; Maurer-Cartan Equation; Maurer-Cartan Equation; Poisson Brackets; Poisson Manifolds; Poisson Manifolds; Schouten Bracket; C; Elementary Particles, Quantum Field Theory; Mathematical Physics; Functional Analysis; Physics and Astronomy; Mathematische Physik; Funktionalanalysis und Abwandlungen; BC

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.

Introduction.- Classical mechanics and Poisson structures.- Deformation quantization and formality theory.- Kontsevich’s Formula and Globalization.- Appendix.- Vector bundles.- Cohomology.- Index.

“The formality theorem gave deep insight into the homological algebra of smooth functions on a manifold. Many applications have grown out of this investigation, too many to mention here. … the author explains its implications together with its origins in the theory of quantization. This is a valuable contribution since the formulation of the statement requires some sophisticated preparation, which is carefully discussed in this booklet.” (Stefan Waldmann, Mathematical Reviews, February, 2016)

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.
Includes supplementary material: sn.pub/extras
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