94-141 Martin Bordemann, Eckhard Meinrenken, Martin Schlichenmaier

Toeplitz Quantization of Kaehler Manifolds and gl(N), N to infty limits. (rev.) (51K, AMSTEX) May 26, 94

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Abstract. For general compact Kaehler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. This generalizes earlier results of the authors and Klimek and Lesniewski obtained for the torus and higher genus Riemann surfaces, respectively. We thereby arrive at an approximation of the Poisson algebra by a sequence of finite-dimensional matrix algebras gl(N) , N to infty.

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