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Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Symplectic Geometry 2009-11-11 v2 Mathematical Physics Algebraic Geometry math.MP

Abstract

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

@article{arxiv.math/0510593,
  title  = {Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds},
  author = {Marco Debernardi and Roberto Paoletti},
  journal= {arXiv preprint arXiv:math/0510593},
  year   = {2009}
}

Comments

exposition improved; added references