Geometric quantization of integrable systems with hyperbolic singularities
Symplectic Geometry
2012-06-12 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0808.0338,
title = {Geometric quantization of integrable systems with hyperbolic singularities},
author = {Mark D. Hamilton and Eva Miranda},
journal= {arXiv preprint arXiv:0808.0338},
year = {2012}
}
Comments
34 pages, 15 figures. v2: small correction in one result. v3: expository changes. To appear in Annales de l'Institut Fourier