2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224399Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant.21 pages, LaTeX. v2,v3,v4,v5: Minor changes, v6: References added, v7,v8: Minor changes, v9: Published versionQuantum AlgebraHigh Energy Physics - TheoryMathematical PhysicsSymplectic Geometry53D05; 53D55; 58A15; 58A50; 58C50; 58Z05.text