  In 2001, S. Barannikov showed that the Frobenius manifold coming from the
quantum cohomology of the complex projective space is isomorphic to the
Frobenius manifold attached to some Laurent polynomial. The purpose of this
thesis is to generalize this result. More precisely, we show, up to a
conjecture on the value of some orbifold Gromov-Witten invariants, that the
Frobenius structure obtained on the orbifold quantum cohomology of the weighted
projective spaces is isomorphic to the one attached to some Laurent polynomial.
