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

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

by Yohann Le Floch
Paperback
Publication Date: 16/10/2019

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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.
ISBN:
9783030068981
9783030068981
Category:
Differential & Riemannian geometry
Format:
Paperback
Publication Date:
16-10-2019
Publisher:
Springer Nature Switzerland AG
Country of origin:
Switzerland
Pages:
140
Dimensions (mm):
235x155x8mm
Weight:
0.45kg

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