Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves (Memoirs of the American Mathematical Society)
Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves (Memoirs of the American Mathematical Society) by Mark D. Hamilton
English | 2010 | ISBN: 0821847147 | 60 Pages | PDF | 649.58 KB
English | 2010 | ISBN: 0821847147 | 60 Pages | PDF | 649.58 KB
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 different from the quantization obtained using a Kohler polarization.