Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Abstract

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

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