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.
General
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