Geometric quantization of integrable systems with hyperbolic singularities

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Date
2009MFO Scientific Program
OWLF 2008Series
Oberwolfach Preprints;2009,01Author
Hamilton, Mark D.
Miranda, Eva
Metadata
Show full item recordOWP-2009-01
Abstract
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.