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Twisted higher index theory on good orbifolds and fractional quantum numbers - MaRDI portal

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Twisted higher index theory on good orbifolds and fractional quantum numbers

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Publication:6500841

arXivmath/9803051MaRDI QIDQ6500841

Author name not available (Why is that?)


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.





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