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.
Debernardi, M., Paoletti, R. (2006). Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 267(1), 227-263 [10.1007/s00220-006-0039-8].
Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
PAOLETTI, ROBERTO
2006
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.
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