Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Details Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

2005-10-27

arxiv.org/abs/math/0510593v2

Mathematics

Symplectic Geometry

exposition improved; added references

Scientific paper

10.1007/s00220-006-0039-8

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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