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Formality theory = from poisson stru...

Esposito, Chiara.

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Formality theory = from poisson structures to deformation quantization /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Formality theory/ by Chiara Esposito.
Reminder of title:	from poisson structures to deformation quantization /
Author:	Esposito, Chiara.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xii, 90 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich's Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index.
Contained By:	Springer eBooks
Subject:	Poisson manifolds. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-09290-4
ISBN:	9783319092904 (electronic bk.)

Formality theory = from poisson structures to deformation quantization /
Esposito, Chiara.

Formality theoryfrom poisson structures to deformation quantization /[electronic resource] :by Chiara Esposito. - Cham :Springer International Publishing :2015. - xii, 90 p. :ill., digital ;24 cm. - SpringerBriefs in mathematical physics,v.22197-1757 ;. - SpringerBriefs in mathematical physics ;v.1..

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

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.

ISBN: 9783319092904 (electronic bk.)

Standard No.: 10.1007/978-3-319-09290-4doiSubjects--Topical Terms:

686613
Poisson manifolds.

LC Class. No.: QA614.3

Dewey Class. No.: 516.36

Formality theory = from poisson structures to deformation quantization /
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100 1 $a Esposito, Chiara. $3 2133153
245 1 0 $a Formality theory $h [electronic resource] : $b from poisson structures to deformation quantization / $c by Chiara Esposito.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xii, 90 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematical physics, $x 2197-1757 ; $v v.2
505 0 $a Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich's Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index.
520 $a 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.
650 0 $a Poisson manifolds. $3 686613
650 0 $a Poisson algebras. $3 752163
650 0 $a Geometric quantization. $3 579202
650 0 $a Quantum groups. $3 629837
650 1 4 $a Physics. $3 516296
650 2 4 $a Quantum Field Theories, String Theory. $3 1067067
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Functional Analysis. $3 893943
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematical physics ; $v v.1. $3 2072051
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-09290-4
950 $a Physics and Astronomy (Springer-11651)