Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
Abstract
Suppose given a complex projective manifold
M
with a fixed Hodge form
Ω
. The Bohr-Sommerfeld Lagrangian submanifolds of
(M,Ω)
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.