  For a symplectic manifold satisfying some topological condition,we define a
special class of modules over the deformation quantization algebra. For any two
such modules we construct an infinity local system of morphisms. We construct
such special module starting from a Lagrangian submanifold satisfying a
topological condition. We compare the result to Morse theory, to the microlocal
category of sheaves recently defined by Tamarkin, and to the Fukaya category of
the two-dimensional torus. Several appendices explain the motivations that come
from asymptotic analysis of pseudo-differential operators and distributions.
