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...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Le Floch, Yohann (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
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.