Identification of Berezin-Toeplitz Deformation Quantization

By A. Karabegov, M. Schlichenmaier. 2000

162 citations recorded by the source corpus.

We give a complete identification of the deformation quantization which was obtained from the Berezin- Toeplitz quantization on an arbitrary compact Kahler manifold. The deformation quantization with the opposite star-product proves to be a differential deformation quantization with separation of variables whose dassifying form is explicitly calculated. Its characteristic dass (which dassifies star-products up to equivalence) is obtained. The proof is based on the microlocal description of the Szego kernel of a strictly pseudoconvex domain given by Boutet de Monvel and Sjostrand.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a2b7ca478d9843f951850b79e4a715235d646c60

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Marc Rieffel
2. David Kerr
3. Frederic Pierre Jean Latrémolière
4. Hanfeng Li

In Mathematical Physics

1. Marc Rieffel
2. David Kerr
3. Frederic Pierre Jean Latrémolière
4. Hanfeng Li

Citations in the corpus

• Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance (2001, background): “My doctoral student Hanfeng Li has checked that by using some of the facts in [27] one can carry out a certain number of steps parallel to those which we carry out here for coadjoint orbits.”