  We study the moduli space of pseudo pointed holomorphic disks with boundaries
mapped in the zero section of the cotangent bundle of a manifold. We define
perturbations of the equation for which it is possible to describe explicitly
all the solutions of the problem in terms of Morse graphs on the manifold. In
particular, this proves that the $A_\infty$ structure of the zero section of
the cotangent bundle is equivalent to the Morse $A_\infty$ structure of the
base manifold.
