Twisted higher index theory on good orbifolds and fractional quantum numbers

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dc.creatorMarcolli, Matilde
dc.creatorMathai, Varghese
dc.date1998-03-12
dc.date.accessioned2026-07-07T05:24:04Z
dc.date.available2026-07-07T05:24:04Z
dc.descriptionThe 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.
dc.description47 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/9803051
dc.identifierhttp://arxiv.org/abs/math/9803051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76692
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.subject58G11, 58G18, 58G25
dc.titleTwisted higher index theory on good orbifolds and fractional quantum numbers
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