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

Le Floch, Yohann

ISBN 10: 3030068986 / ISBN 13: 9783030068981

Published by Springer, 2019

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Seller Inventory # ERICA77330300689866

Bibliographic Details

• Title: A Brief Introduction to Berezin Toeplitz Operators on Compact Kähler Manifolds (CRM Short Courses)
• Publisher: Springer
• Publication Date: 2019
• Language: English
• ISBN 10: 3030068986
• ISBN 13: 9783030068981
• Binding: Paperback
• Condition: New
• Book Type: book

About this title

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.

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.