Resumen de Quantization of line bundles on lagrangian subvarieties

Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin, Jeremy Pecharich

• 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.