Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves
Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves
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局部环面流形和奇异 Bohr-Sommerfeld 叶
DOI：
10.1090/s0065-9266-10-00583-1
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
M. Hamilton
中科院分区：
文献类型：
--
作者：
M. Hamilton
在力矩图的纤维上模拟的真实极化。作者直接对结果进行了计算，得到了一个类似于Sniatycki的定理，给出了计算玻尔-索默菲尔德叶的量子化。然而，计数不包括玻尔-索默菲尔德叶，因为它们是奇异的。因此，所得到的量子化不同于使用科勒偏振所得到的量子化。
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.