Formality Theory

From Poisson Structures to Deformation Quantization

Paperback Engels 2014 2015e druk 9783319092898
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Samenvatting

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.

Specificaties

ISBN13:9783319092898
Taal:Engels
Bindwijze:paperback
Aantal pagina's:90
Uitgever:Springer International Publishing
Druk:2015

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Inhoudsopgave

<p>Introduction.- Classical mechanics and Poisson structures.- Deformation quantization and formality theory.- Kontsevich’s Formula and Globalization.- Appendix.- Vector bundles.- Cohomology.- Index.</p>

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        Formality Theory