2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101143Deformation quantization algebroids over a complex symplectic manifold X are locally given by rings of WKB operators, that is, microdifferential operators with an extra central parameter τ. In this paper, we will show that such algebroids are classified by H^2(X;k^*), where k^* is a subgroup of the group of invertible formal Laurent series in τ^-1.17 pages; section 6 removed (see "Uniqueness of quantization of complex contact manifolds") and minor changesAlgebraic GeometrySymplectic Geometry46L65; 35A27; 18G5text