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

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

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Hardback

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

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.

Author Biography

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.
Release date NZ
October 2nd, 2018
Country of Publication
Switzerland
Edition
1st ed. 2018
Illustrations
VIII, 140 p.
Imprint
Springer International Publishing AG
Pages
140
ISBN-13
9783319946818
Product ID
28125064

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