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A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds Yohann Le Floch

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds By Yohann Le Floch

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds by Yohann Le Floch


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Summary

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.

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds Summary

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds by Yohann Le Floch

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler 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.


A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds Reviews

The book ... represents an essential prerequisite for anyone who wants to work in the field. The author have managed to make it readable by non-specialists. (Bechir Dali, zbMATH 1452.32002, 2021)

About Yohann Le Floch

Yohann Le Floch is maitre de conferences at Universite de Strasbourg, in the Analysis team of the Institut de Recherche Mathematique Avancee. His areas of interest are semiclassical analysis, with a focus on Berezin-Toeplitz operators, and classical and quantum integrable systems.

Table of Contents

Preface.- 1. Introduction.- 2. A short introduction to Kahler manifolds.- 3. Complex line bundles with connections.- 4. Quantization of compact Kahler manifolds.- 5. Berezin-Toeplitz operators.- 6. Schwartz kernels.- 7. Asymptotics of the projector Pi_k.- 8. Proof of product and commutator estimates.- 9. Coherent states and norm correspondence.- A. The circle bundle point of view.- Bibliography.

Additional information

GOR014000484
9783319946818
3319946811
A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds by Yohann Le Floch
Used - Very Good
Hardback
Springer International Publishing AG
2018-10-02
140
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds