- 96-112 Schlichenmaier, M.
- Berezin-Toeplitz Quantization of compact Kaehler manifolds
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Apr 1, 96
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Abstract. Invited lecture at the XIV-th workshop
on geometric methods in physics, Bialowieza, Poland,
July 9-15, 1995.
In this lecture results are reviewed obtained by the author
together with Martin Bordemann and Eckhard Meinrenken on the
quantization of compact K\"ahler manifolds. Using global
Toeplitz operators approximation results for the
quantum operators are shown. From them it follows that the
quantum operators have the correct classical limit.
A star product deformation of the Poisson algebra is constructed.