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Formality Theory

From Poisson Structures to Deformation Quantization

  • Chiara Esposito

Part of the SpringerBriefs in Mathematical Physics book series (BRIEFSMAPHY, volume 2)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Chiara Esposito
    Pages 1-5
  3. Chiara Esposito
    Pages 7-20
  4. Chiara Esposito
    Pages 21-59
  5. Chiara Esposito
    Pages 61-80
  6. Back Matter
    Pages 81-90

About this book

Introduction

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.

Keywords

Formality Theory Hochshild Complex Hschild-Kostant-Rosenberg Theorem Kontsevich Formula Maurer-Cartan Equation Maurer-Cartan Equation Poisson Brackets Poisson Manifolds Poisson Manifolds Schouten Bracket

Authors and affiliations

  • Chiara Esposito
    • 1
  1. 1.Department of MathematicsUniversity of WürzburgWürzburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-09290-4
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-09289-8
  • Online ISBN 978-3-319-09290-4
  • Series Print ISSN 2197-1757
  • Series Online ISSN 2197-1765
  • Buy this book on publisher's site