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With use of spherical geometry, a translationally invariant version of Laughlin's proposed "incompressible quantum fluid" state of the two-dimensional electron gas is formulated, and extended to a hierarchy of continued-fraction Landau-level filling factors. Observed anomalies at =25, 27 are explained by fluids deriving from a =13 parent.
F. D. M. Haldane (Mon,) studied this question.