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Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Research paper by Marco Debernardi, Roberto Paoletti

Indexed on: 31 Jan '06Published on: 31 Jan '06Published in: Mathematics - Symplectic Geometry



Abstract

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.