  Superanalysis can be deformed with a fermionic star product into a Clifford
calculus that is equivalent to geometric algebra. With this multivector
formalism it is then possible to formulate Riemannian geometry and an
inhomogeneous generalization of exterior calculus. Moreover it is shown here
how symplectic and Poisson geometry fit in this context. The application of
this formalism together with the bosonic star product formalism of deformation
quantization leads then on space and space-time to a natural appearance of spin
structures and on phase space to BRST structures that were found in the path
integral formulation of classical mechanics. Furthermore it will be shown that
Poincare and Lie-Poisson reduction can be formulated in this formalism.
