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CRM Short Courses

A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds

Authors: Le Floch, Yohann

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  • Presents the first introduction to the subject for non-specialists
  • Requires only a basic knowledge of differential geometry and analysis
  • First chapters review the necessary geometric notions to study the field
  • Includes several exercises and examples serving as tutorials or exam problems
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  • ISBN 978-3-319-94682-5
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Softcover 57,19 €
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About this Textbook

This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.


About the authors

Yohann Le Floch is maître de conférences at Université de Strasbourg, in the Analysis team of the Institut de Recherche Mathématique Avancée. His areas of interest are semiclassical analysis, with a focus on Berezin-Toeplitz operators, and classical and quantum integrable systems.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-94682-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-94681-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-030-06898-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
Authors
Series Title
CRM Short Courses
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-94682-5
DOI
10.1007/978-3-319-94682-5
Hardcover ISBN
978-3-319-94681-8
Softcover ISBN
978-3-030-06898-1
Series ISSN
2522-5200
Edition Number
1
Number of Pages
VIII, 140
Number of Illustrations
160 b/w illustrations, 1 illustrations in colour
Topics

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