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Locally toric manifolds and singular Bohr-Sommerfeld leaves

Locally toric manifolds and singular Bohr-Sommerfeld leaves

A real polarization modelled on fibres of the moment map. The author computes the results directly and obtains a theorem similar to Sniatycki's, which gives the quantization in terms of counting Bohr-Sommerfeld leaves. However, the count does not include the Bohr-Sommerfeld leaves which are singular. Thus the quantization obtained is …