Quantization of Kähler manifolds. II

Cahen, Michel; Gutt, Simone; Rawnsley, John

doi:10.1090/S0002-9947-1993-1179394-9

Quantization of Kähler manifolds. II
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by Michel Cahen, Simone Gutt and John Rawnsley PDF

Trans. Amer. Math. Soc. 337 (1993), 73-98 Request permission

Abstract:

We use Berezin’s dequantization procedure to define a formal $\ast$-product on a dense subalgebra of the algebra of smooth functions on a compact homogeneous Kähler manifold $M$. We prove that this formal $\ast$-product is convergent when $M$ is a hermitian symmetric space.

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