Toeplitz operators on symplectic manifolds

Details Toeplitz operators on symplectic manifolds Toeplitz operators on symplectic manifolds

2008-06-14

arxiv.org/abs/0806.2370v1

Journal of Geometric Analysis, Volume 18, Number 2 / April 2008, 565-611

Mathematics

Differential Geometry

40 pages

Scientific paper

10.1007/s12220-008-9022-2

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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