E-Book, Englisch, Band 2, 90 Seiten, eBook
Esposito Formality Theory
2015
ISBN: 978-3-319-09290-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
From Poisson Structures to Deformation Quantization
E-Book, Englisch, Band 2, 90 Seiten, eBook
Reihe: SpringerBriefs in Mathematical Physics
ISBN: 978-3-319-09290-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Introduction.- Classical mechanics and Poisson structures.- Deformation quantization and formality theory.- Kontsevich’s Formula and Globalization.- Appendix.- Vector bundles.- Cohomology.- Index.
