Twisted higher index theory on good orbifolds and fractional quantum numbers

Matilde Marcolli (MIT); Varghese Mathai (University of Adelaide)

arxiv: math/9803051 · v1 · submitted 1998-03-12 · 🧮 math.DG · hep-th· math.FA

Twisted higher index theory on good orbifolds and fractional quantum numbers

Matilde Marcolli (MIT) , Varghese Mathai (University of Adelaide) This is my paper

classification 🧮 math.DG hep-thmath.FA

keywords higherindexorbifoldsfractionalgoodnumbersquantumtwisted

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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.

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Twisted higher index theory on good orbifolds and fractional quantum numbers

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