Twisted higher index theory on good orbifolds and fractional quantum numbers
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.math/9803051,
title = {Twisted higher index theory on good orbifolds and fractional quantum numbers},
author = {Matilde Marcolli and Varghese Mathai},
journal= {arXiv preprint arXiv:math/9803051},
year = {2007}
}
Comments
47 pages, Latex