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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.
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136:{\displaystyle {\begin{pmatrix}1&1\\0&1\\\end{pmatrix}},{\begin{pmatrix}1&0\\\rho &1\\\end{pmatrix}}}
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226:, Geom. Topol. Monogr., vol. 1, Geom. Topol. Publ., Coventry, pp. 303–316,
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The Riley slice consists of the complex numbers ρ such that the two matrices
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Komori, Yohei; Series, Caroline (1998), "The Riley slice revisited",
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generated by two parabolic elements. It was studied in detail by
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by them. Some subtle errors in their paper were corrected by
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16:In the mathematical theory of Kleinian groups, the
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188:Proceedings of the London Mathematical Society
186:(1994), "The Riley slice of Schottky space",
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154:is a 4-times punctured sphere.
150:with regular set Ω such that Ω/
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224:The Epstein birthday schrift
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146:generate a Kleinian group
38:Komori & Series (1998)
30:Keen & Series (1994)
200:10.1112/plms/s3-69.1.72
242:10.2140/gtm.1998.1.303
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190:, Third Series,
184:Series, Caroline
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32:and named after
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266:Kleinian groups
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26:Kleinian groups
24:is a family of
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22:Schottky space
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233:math/9810194
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194:(1): 72–90,
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34:Robert Riley
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180:Keen, Linda
18:Riley slice
173:References
167:Bers slice
44:Definition
208:0024-6115
118:ρ
260:Category
161:See also
250:1668296
216:1272421
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228:arXiv
204:ISSN
238:doi
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246:MR
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148:G
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