2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116560We propose, motivate and give evidence for a relation between the $\mathcal D$-modules of the quantum cohomology of a smooth complex projective manifold $X$ and a projective bundle $\PP(\oplus L_i)$ over $X$.This is the published version. Section 3.1 improvements and the discussion on the small quantum cohomology of a projective bundles will appear in a different paperAlgebraic Geometry14N35; 14L30text