Abstract
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.
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Dedicated to Professor Gennadi Henkin with the occasion of his 65th anniversary.
Second-named author partially supported by the SFB/TR 12.
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Ma, X., Marinescu, G. Toeplitz Operators on Symplectic Manifolds. J Geom Anal 18, 565–611 (2008). https://doi.org/10.1007/s12220-008-9022-2
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DOI: https://doi.org/10.1007/s12220-008-9022-2