  Inspired by symplectic geometry and a microlocal characterizations of
perverse (constructible) sheaves we consider an alternative definition of
perverse coherent sheaves. We show that a coherent sheaf is perverse if and
only if $R\Gamma_Z(\mathcal{F})$ is concentrated in degree 0 for special
subvarieties Z of X. These subvarieties Z are analogs of Lagrangians in the
symplectic case.
