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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 
$R{\rm\Gamma}_{Z}{\mathcal{F}}$ is concentrated in degree 
$0$ for special subvarieties 
$Z$ of 
$X$. These subvarieties 
$Z$ are analogs of Lagrangians in the symplectic case.
