Berezin-Toeplitz quantization and its kernel expansion
Xiaonan Ma, George Marinescu

TL;DR
This paper surveys recent advances in Berezin-Toeplitz quantization, focusing on the asymptotic expansion of Toeplitz operators and their kernels, especially the calculation of initial coefficients.
Contribution
It provides a comprehensive overview of the latest results on the asymptotic behavior and coefficient calculation in Berezin-Toeplitz quantization.
Findings
Asymptotic expansion of Toeplitz operators analyzed
Calculation methods for first coefficients developed
Survey of recent progress in the field
Abstract
We survey recent results about the asymptotic expansion of Toeplitz operators and their kernels, as well as Berezin-Toeplitz quantization. We deal in particular with calculation of the first coefficients of these expansions.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Topics in Algebra · Advanced Algebra and Geometry
