Quantization of line bundles on Lagrangian subvarieties
  We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety. 
Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin and Jeremy   Pecharich
math.AG