Brief Introduction to Berezin-Toeplitz Operators on Compact Kaehler Manifolds
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Brief Introduction to Berezin-Toeplitz Operators on Compact Kaehler Manifolds
Le Floch, Yohann
Springer International Publishing AG
10/2018
140
Dura
Inglês
9783319946818
15 a 20 dias
454
Descrição não disponível.
Preface.- 1. Introduction.- 2. A short introduction to Kaehler manifolds.- 3. Complex line bundles with connections.- 4. Quantization of compact Kaehler 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Kahler manifolds;complexified tangent bundle;complex line bundles;quantization compact Kahler manifolds;Berezin-Toeplitz operator;Schwartz kernels;Kostant-Souriau operators;coherent states;norm correspondence;Szego projector;Kaehler manifolds;graduate text semiclassical analysis;graduate text quantization;geometric quantization;circle bundle;Berezin-Toeplitz operators course Tel-Aviv
Preface.- 1. Introduction.- 2. A short introduction to Kaehler manifolds.- 3. Complex line bundles with connections.- 4. Quantization of compact Kaehler 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Kahler manifolds;complexified tangent bundle;complex line bundles;quantization compact Kahler manifolds;Berezin-Toeplitz operator;Schwartz kernels;Kostant-Souriau operators;coherent states;norm correspondence;Szego projector;Kaehler manifolds;graduate text semiclassical analysis;graduate text quantization;geometric quantization;circle bundle;Berezin-Toeplitz operators course Tel-Aviv
