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Esposito, Chiara (Author):
Formality Theory: From Poisson Structures to Deformation Quantization - Livres de poche2014, 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… Plus…
2014
ISBN: 3319092898
[EAN: 9783319092898], Neubuch, [SC: 9.83], [PU: Springer International Publishing], ANALYSIS / FUNKTIONALANALYSIS; FORMALITYTHEORY; HOCHSHILDCOMPLEX; HSCHILD-KOSTANT-ROSENBERGTHEOREM; KON… Plus…
2014, ISBN: 3319092898
[EAN: 9783319092898], Neubuch, [SC: 0.0], [PU: Springer International Publishing], ANALYSIS / FUNKTIONALANALYSIS; FORMALITYTHEORY; HOCHSHILDCOMPLEX; HSCHILD-KOSTANT-ROSENBERGTHEOREM; KONT… Plus…
2015, ISBN: 3319092898
Formality Theory ab 58.99 € als Taschenbuch: From Poisson Structures to Deformation Quantization. Auflage 2015. Aus dem Bereich: Bücher, Wissenschaft, Physik, Medien > Bücher, Springer In… Plus…
Données bibliographiques du meilleur livre correspondant
Informations détaillées sur le livre - Formality Theory: From Poisson Structures to Deformation Quantization (SpringerBriefs in Mathematical Physics, Band 2)
EAN (ISBN-13): 9783319092898
ISBN (ISBN-10): 3319092898
Version reliée
Livre de poche
Date de parution: 2014
Editeur: Springer
Livre dans la base de données depuis 2014-10-10T07:00:28+02:00 (Zurich)
Page de détail modifiée en dernier sur 2022-09-19T08:25:53+02:00 (Zurich)
ISBN/EAN: 9783319092898
ISBN - Autres types d'écriture:
3-319-09289-8, 978-3-319-09289-8
Autres types d'écriture et termes associés:
Auteur du livre: esposito
Titre du livre: poisson, mathematical physics, deformation theory
Données de l'éditeur
Auteur: Chiara Esposito
Titre: SpringerBriefs in Mathematical Physics; Formality Theory - From Poisson Structures to Deformation Quantization
Editeur: Springer; Springer International Publishing
90 Pages
Date de parution: 2014-09-18
Cham; CH
Imprimé / Fabriqué en
Langue: Anglais
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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