Riley sliceIn the mathematical theory of Kleinian groups, the Riley slice of Schottky space is a family of Kleinian groups generated by two parabolic elements. It was studied in detail by Keen & Series (1994) and named after Robert Riley by them. Some subtle errors in their paper were corrected by Komori & Series (1998). DefinitionThe Riley slice consists of the complex numbers ρ such that the two matrices generate a Kleinian group G with regular set Ω such that Ω/G is a 4-times punctured sphere. The Riley slice is the quotient of the Teichmuller space of a 4-times punctured sphere by a group generated by Dehn twists around a curve, and so is topologically an annulus. See alsoReferences
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