SpringerBriefs in Mathematical Physics: From Poisson Structures to Deformation Quantization

Esposito, Chiara

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.

Details

Published by: Springer

Publication Date: 2014-09-18

Format: Paperback

ISBN-13: 9783319092898

DOI: 10.1007/978-3-319-09290-4

Dimensions: 235cm x155cm

Pages: 90