Twisted higher index theory on good orbifolds and fractional quantum numbers

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The twisted Connes-Moscovici higher index theorem is generalized to the case of good orbifolds. The higher index is shown to be a rational number, and in fact non-integer in specific examples of 2-orbifolds. This results in a non-commutative geometry model that predicts the occurrence of fractional quantum numbers in the Hall effect on the hyperbolic plane.
47 pages, Latex

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Differential Geometry, High Energy Physics - Theory, Functional Analysis, 58G11, 58G18, 58G25

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http://salesiana.dossiersoluciones.com/handle/123456789/76692

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9803051
 http://arxiv.org/abs/math/9803051

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arXiv