  In this paper we give a construction of Fedosov quantization incorporating
the odd variables and an analogous formula to Getzler's pseudodifferential
calculus composition formula is obtained. A Fedosov type connection is
constructed on the bundle of Weyl tensor Clifford algebras over the cotangent
bundle of a Riemannian manifold. The quantum algebra associated with this
connection is used to define a deformation of the exterior algebra of
Riemannian manifolds.
