A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
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, topolo...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | CRM Short Courses
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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