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Formality Theory = From Poisson Structures to Deformation Quantization /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Formality Theory/ by Chiara Esposito.
其他題名:	From Poisson Structures to Deformation Quantization /
作者:	Esposito, Chiara.
面頁冊數:	XII, 90 p. 4 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Quantum field theory. -
電子資源:	https://doi.org/10.1007/978-3-319-09290-4
ISBN:	9783319092904

Formality Theory = From Poisson Structures to Deformation Quantization /
Esposito, Chiara.

Formality TheoryFrom Poisson Structures to Deformation Quantization /[electronic resource] :by Chiara Esposito. - 1st ed. 2015. - XII, 90 p. 4 illus.online resource. - SpringerBriefs in Mathematical Physics,22197-1757 ;. - SpringerBriefs in Mathematical Physics,8.

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

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

579915
Quantum field theory.

LC Class. No.: QC174.45-174.52

Dewey Class. No.: 530.14

Formality Theory = From Poisson Structures to Deformation Quantization /
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