Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematical Physics (BRIEFSMAPHY, volume 2)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (4 chapters)
Keywords
About this book
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.
Reviews
“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)
Authors and Affiliations
Bibliographic Information
Book Title: Formality Theory
Book Subtitle: From Poisson Structures to Deformation Quantization
Authors: Chiara Esposito
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-09290-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2015
Softcover ISBN: 978-3-319-09289-8Published: 18 September 2014
eBook ISBN: 978-3-319-09290-4Published: 04 September 2014
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: XII, 90
Number of Illustrations: 4 b/w illustrations
Topics: Quantum Field Theories, String Theory, Mathematical Physics, Functional Analysis