Communications in Mathematical Physics

, Volume 267, Issue 1, pp 227–263 | Cite as

Equivariant Asymptotics for Bohr-Sommerfeld Lagrangian Submanifolds

  • Marco DebernardiEmail author
  • Roberto Paoletti


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.


Asymptotic Expansion Lagrangian Submanifolds Geometric Quantization Ample Line Bundle Fourier Integral Operator 
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© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Dipartimento di Matematica F. CasoratiUniversità di PaviaPaviaItaly
  2. 2.Dipartimento di Matematica e ApplicazioniUniversità degli Studi di Milano BicoccaMilanoItaly

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