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CRM Short Courses Ser.: A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds by Yohann Le Floch (2018, Hardcover)

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This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum.

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Product Information

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.

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3319946811
ISBN-13
9783319946818
eBay Product ID (ePID)
12038580710

Product Key Features

Author
Yohann Le Floch
Publication Name
Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds
Format
Hardcover
Language
English
Publication Year
2018
Series
Crm Short Courses Ser.
Type
Textbook
Number of Pages
VIII, 140 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
16 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa641-670
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." (Béchir Dali, zbMATH 1452.32002, 2021)
Table of Content
Preface.- 1. Introduction.- 2. A short introduction to Kähler manifolds.- 3. Complex line bundles with connections.- 4. Quantization of compact Kähler 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.
Copyright Date
2018
Topic
Geometry / Differential, Algebra / General, Mathematical Analysis
Dewey Decimal
515.73
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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CRM Short Courses Ser.: A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds by Yohann Le Floch (2018, Hardcover)

About this product

Product Information

Product Identifiers

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Additional Product Features

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item 1 Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds,...

item 2 Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds,...

item 3 A Brief Introduction to BerezinToeplitz Operators on Compact Khler Manifolds by

item 4 Yohann Le Floch A Brief Introduction to Berezin–Toeplitz (Hardback) (UK IMPORT)

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