In the Bargmann - Fock representation the coordinates 0305-4470/29/21/028/img1 act as bosonic creation operators while the partial derivatives 0305-4470/29/21/028/img2 act as annihilation operators on holomorphic 0-forms as states of a D-dimensional bosonic oscillator. Also considering p-forms and further geometrical objects as the exterior derivative and Lie derivatives on a holomorphic 0305-4470/29/21/028/img3, we end up with an analogous representation for the D-dimensional supersymmetric oscillator. In particular, the supersymmetry multiplet structure of the Hilbert space corresponds to the cohomology of the exterior derivative. In addition, a 1-complex parameter group emerges naturally and contains both time evolution and a homotopy related to cohomology. The emphasis is on calculus.