  Suppose given a complex projective manifold $M$ with a fixed Hodge form
$\Omega$. The Bohr-Sommerfeld Lagrangian submanifolds of $(M,\Omega)$ are the
geometric counterpart to semi-classical physical states, and their geometric
quantization has been extensively studied. Here we revisit this theory in the
equivariant context, in the presence of a compatible (Hamiltonian) action of a
connected compact Lie group.
