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Esposito, Chiara (Author):

Formality Theory: From Poisson Structures to Deformation Quantization - Paperback

2015, ISBN: 9783319092898

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Esposito, Chiara (Author):

Formality Theory: From Poisson Structures to Deformation Quantization - Paperback

2014, ISBN: 9783319092898

(Paris, 1845) estratto in-4° cop. muta, pp. 505/528 + 5 tav. lit. a col. (XXI/XXV) - !! ATTENZIONE !!: Con il termine estratto (o stralcio) intendiamo riferirci ad un fascicolo contenent… More...

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Chiara Esposito:
Formality Theory : From Poisson Structures to Deformation Quantization - Paperback

2014

ISBN: 3319092898

[EAN: 9783319092898], Neubuch, [SC: 9.83], [PU: Springer International Publishing], ANALYSIS / FUNKTIONALANALYSIS; FORMALITYTHEORY; HOCHSHILDCOMPLEX; HSCHILD-KOSTANT-ROSENBERGTHEOREM; KON… More...

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Chiara Esposito:
Formality Theory : From Poisson Structures to Deformation Quantization - Paperback

2014, ISBN: 3319092898

[EAN: 9783319092898], Neubuch, [SC: 0.0], [PU: Springer International Publishing], ANALYSIS / FUNKTIONALANALYSIS; FORMALITYTHEORY; HOCHSHILDCOMPLEX; HSCHILD-KOSTANT-ROSENBERGTHEOREM; KONT… More...

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Chiara Esposito:
Formality Theory - Paperback

2015, ISBN: 3319092898

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Details of the book - Formality Theory: From Poisson Structures to Deformation Quantization (SpringerBriefs in Mathematical Physics, Band 2)


EAN (ISBN-13): 9783319092898
ISBN (ISBN-10): 3319092898
Hardcover
Paperback
Publishing year: 2014
Publisher: Springer

Book in our database since 2014-10-10T01:00:28-04:00 (New York)
Detail page last modified on 2022-09-19T02:25:53-04:00 (New York)
ISBN/EAN: 9783319092898

ISBN - alternate spelling:
3-319-09289-8, 978-3-319-09289-8
Alternate spelling and related search-keywords:
Book author: esposito
Book title: poisson, mathematical physics, deformation theory


Information from Publisher

Author: Chiara Esposito
Title: SpringerBriefs in Mathematical Physics; Formality Theory - From Poisson Structures to Deformation Quantization
Publisher: Springer; Springer International Publishing
90 Pages
Publishing year: 2014-09-18
Cham; CH
Printed / Made in
Language: English
64,19 € (DE)
65,99 € (AT)
71,00 CHF (CH)
POD
XII, 90 p. 4 illus.

BC; Hardcover, Softcover / 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; Elementary Particles, Quantum Field Theory; Mathematical Physics; Functional Analysis; Mathematische Physik; Funktionalanalysis und Abwandlungen; EA

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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