2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59377We give a complete identification of the deformation quantization which was obtained from the Berezin-Toeplitz quantization on an arbitrary compact Kaehler manifold. The deformation quantization with the opposite star-product proves to be a differential deformation quantization with separation of variables whose classifying form is explicitly calculated. Its characteristic class (which classifies star-products up to equivalence) is obtained. The proof is based on the microlocal description of the Szegoe kernel of a strictly pseudoconvex domain given by Boutet de Monvel and Sjoestrand.26 pagesQuantum AlgebraMathematical PhysicsAlgebraic GeometryComplex VariablesSymplectic GeometryQuantum Physics58F06, 53D55, 58G15, 53C55, 32C17, 81S10text