Twisted higher index theory on good orbifolds and fractional quantum numbers

Details Twisted higher index theory on good orbifolds and fractional quantum numbers Twisted higher index theory on good orbifolds and fractional quantum numbers

1998-03-12

arxiv.org/abs/math/9803051v1

Mathematics

Differential Geometry

47 pages, Latex

Scientific paper

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.

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