Browsing by Author "Hamilton, Mark D."

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    Geometric quantization of integrable systems with hyperbolic singularities
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2009) Hamilton, Mark D.; Miranda, Eva
    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, which we assume to be of nondegenerate type. In particular, we compute the effect of hyperbolic singularities, which make an infinite-dimensional contribution to the quantization, thus showing that this quantization depends strongly on polarization.