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math.SG2008
Geometric quantization of integrable systems with hyperbolic singularities
Mark D. Hamilton, Eva Miranda
We construct the geometric quantization of a compact surface using a singular real polarization coming from an integrable system. Such a polarization always has singularities, whic…
math.SG2008
Action-angle coordinates for integrable systems on Poisson manifolds
Camille Laurent-Gengoux, Eva Miranda, Pol Vanhaecke
We prove the action-angle theorem in the general, and most natural, context of integrable systems on Poisson manifolds, thereby generalizing the classical proof, which is given in…