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Formality theory[electronic resource...

Esposito, Chiara.

Formality theory[electronic resource] :from poisson structures to deformation quantization /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.36
書名/作者:	Formality theory : from poisson structures to deformation quantization // by Chiara Esposito.
作者:	Esposito, Chiara.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xii, 90 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Poisson manifolds.
標題:	Poisson algebras.
標題:	Geometric quantization.
標題:	Quantum groups.
標題:	Physics.
標題:	Quantum Field Theories, String Theory.
標題:	Mathematical Physics.
標題:	Functional Analysis.
ISBN:	9783319092904 (electronic bk.)
ISBN:	9783319092898 (paper)
內容註:	Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich's Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-09290-4

Formality theory[electronic resource] :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:

602952
Poisson manifolds.

LC Class. No.: QA614.3

Dewey Class. No.: 516.36

Formality theory[electronic resource] :from poisson structures to deformation quantization /
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100 1 $a Esposito, Chiara. $3 602951
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 602952
650 0 $a Poisson algebras. $3 602953
650 0 $a Geometric quantization. $3 602954
650 0 $a Quantum groups. $3 383611
650 1 4 $a Physics. $3 171863
650 2 4 $a Quantum Field Theories, String Theory. $3 465991
650 2 4 $a Mathematical Physics. $3 465111
650 2 4 $a Functional Analysis. $3 464114
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematical physics ; $v v.1. $3 591158
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-09290-4
950 $a Physics and Astronomy (Springer-11651)

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