2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164986We generalize geometric prequantization of symplectic manifolds to differentiable stacks. Our approach is atlas-independent and provides a bijection between isomorphism classes of principal circle bundles (with or without connections) and second cohomology groups of certain chain complexes.Differential GeometryRepresentation TheorySymplectic GeometryDifferential characters as stacks and prequantizationtext