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, topol...
Κύριος συγγραφέας: | |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
|
Έκδοση: | 1st ed. 2018. |
Σειρά: | CRM Short Courses,
|
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.