2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118199This article is a revised, short and english version of my PhD thesis. First, we show a mirror theorem : the Frobenius manifold associated to the orbifold quantum cohomology of weighted projective space is isomorphic to the one attached to a specific Laurent polynomial. Secondly, we show a reconstruction theorem, that is, we can reconstruct in an algorithmic way the full genus 0 Gromov-Witten potential from the 3-point invariants.27 pages, revised and short version of my PhD thesis : math.AG/0510331. Accepted for publication in Journal of Algebraic GeometryAlgebraic GeometrySymplectic Geometry53D45,14N35, 32S30, 32S20text