A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds (CRM Short Courses) - Hardcover

Book 4 of 7: CRM Short Courses

Le Floch, Yohann

 
9783319946818: A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds (CRM Short Courses)
Hardcover
ISBN 10: 3319946811 ISBN 13: 9783319946818
Publisher: Springer, 2018

Synopsis

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.


"synopsis" may belong to another edition of this title.

About the Author

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.

From the Back Cover

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 this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
3319946811
ISBN 13 
9783319946818
Binding
Hardcover
Edition number
1
Number of pages
148

Other Popular Editions of the Same Title

9783030068981: A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds (CRM Short Courses)

Featured Edition

ISBN 10:  3030068986 ISBN 13:  9783030068981
Publisher: Springer, 2019
Softcover