Formality Theory From Poisson Structures to Deformation Quantization

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...

Full description

Bibliographic Details
Main Author: Esposito, Chiara
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Series:SpringerBriefs in Mathematical Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 01907nmm a2200337 u 4500
001 EB000897517
003 EBX01000000000000000694637
005 00000000000000.0
007 cr|||||||||||||||||||||
008 141008 ||| eng
020 |a 9783319092904 
100 1 |a Esposito, Chiara 
245 0 0 |a Formality Theory  |h Elektronische Ressource  |b From Poisson Structures to Deformation Quantization  |c by Chiara Esposito 
250 |a 1st ed. 2015 
260 |a Cham  |b Springer International Publishing  |c 2015, 2015 
300 |a XII, 90 p. 4 illus  |b online resource 
505 0 |a Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich’s Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index 
653 |a Functional analysis 
653 |a Quantum field theory 
653 |a Functional Analysis 
653 |a Elementary particles (Physics) 
653 |a Mathematical Physics 
653 |a Elementary Particles, Quantum Field Theory 
653 |a Mathematical physics 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a SpringerBriefs in Mathematical Physics 
028 5 0 |a 10.1007/978-3-319-09290-4 
856 4 0 |u https://doi.org/10.1007/978-3-319-09290-4?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.14 
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