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Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Marco Debernardi·Roberto Paoletti
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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.

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Marco Debernardi, Roberto Paoletti. 2006-01-31. Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds. https://doi.org/10.1007/s00220-006-0039-8

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