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arXiv · 0808.0338

Geometric quantization of integrable systems with hyperbolic singularities

Mark D. Hamilton·Eva Miranda
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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.

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Mark D. Hamilton, Eva Miranda. 2008-08-03. Geometric quantization of integrable systems with hyperbolic singularities. https://arxiv.org/abs/0808.0338

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