  Let $V$ be a smooth, projective, convex variety. We define tautological
$\psi$ and $\kappa$ classes on the moduli space of stable maps $\M_{0,n}(V)$,
give a (graphical) presentation for these classes in terms of boundary strata,
derive differential equations for the generating functions of the Gromov-Witten
invariants of $V$ twisted by these tautological classes, and prove that these
intersection numbers are completely determined by the Gromov-Witten invariants
of $V$. This results in families of Frobenius manifold structures on the
cohomology ring of $V$ which includes the quantum cohomology as a special case.
