2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33732A geometric prequantization formula for the Poisson-Gerstenhaber bracket of forms found within the DeDonder-Weyl Hamiltonian formalism earlier is presented. The related aspects of covariant geometric quantization of field theories are sketched. In particular, the importance of the framework of Clifford and spinor bundles and superconnections in this context is underlined.2pp, LaTeX2e, uses ws-p9-75x6-50.cls. Contributed paper to the IX Marcel Grossmann Meeting, Rome, Italy, July 2000 (to be published by World Scientific, Singapore). V2: the list of references updatedGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsSymplectic GeometryQuantum Physicstext