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Title:
Fractional Quantum Hall Effect on Riemann Surfaces
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Abstract:
Fractional Quantum Hall Effect (FQHE) describes electronic gas in quantizing magnetic field. In realistic setting electrons are confined in a plane. However, many subtle properties of this phenomena are revealed and better understood would electronic liquid be placed on a Riemann surface instead. Then a response of electronic liquid to a change of the geometry (metric) generates sensible physical information. In return FQHE on Riemann surfaces fosters sensible geometric objects and structures yet to be understood.
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