A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
Springer International Publishing (Verlag)
978-3-030-06898-1 (ISBN)
Yohann Le Floch is maître de conférences at Université de Strasbourg, in the Analysis team of the Institut de Recherche Mathématique Avancée. His areas of interest are semiclassical analysis, with a focus on Berezin-Toeplitz operators, and classical and quantum integrable systems.
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.
lt;p>"The book ... represents an essential prerequisite for anyone who wants to work in the field. The author have managed to make it readable by non-specialists." (Béchir Dali, zbMATH 1452.32002, 2021)
Erscheinungsdatum | 18.02.2019 |
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Reihe/Serie | CRM Short Courses |
Zusatzinfo | VIII, 140 p. 161 illus., 1 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 237 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | Berezin-Toeplitz operator • Berezin-Toeplitz operators course Tel-Aviv • Berezin–Toeplitz operators course Tel-Aviv • circle bundle • Coherent states • complexified tangent bundle • complex line bundles • geometric quantization • graduate text quantization • graduate text semiclassical analysis • Kaehler manifolds • Kahler manifolds • Kostant-Souriau operators • norm correspondence • quantization compact Kahler manifolds • Schwartz kernels • Szego projector |
ISBN-10 | 3-030-06898-6 / 3030068986 |
ISBN-13 | 978-3-030-06898-1 / 9783030068981 |
Zustand | Neuware |
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