  Given, in the Lagrangian torus fibration $R^4\to R^2$, a Lagrangian
submanifold $L$, endowed with a trivial flat connection, the corresponding
mirror object is constructed on the dual fibration by means of a family of
Morse homologies associated to the generating function of $L$, and it is
provided with a holomorphic structure. Morse homology, however, is not defined
along the caustic $C$ of $L$ or along the bifurcation locus $B$, where the
family does not satisfy the Morse-Smale condition. The holomorphic structure is
extended to the subset $C\cup B$, except cusps, yielding the so called quantum
corrections to the mirror object.
