Symmetric surgery on asymmetric knots (Q1359488)
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scientific article; zbMATH DE number 1031494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric surgery on asymmetric knots |
scientific article; zbMATH DE number 1031494 |
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Symmetric surgery on asymmetric knots (English)
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6 July 1997
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In their paper [ibid. 276, 323-340 (1987; Zbl 0624.57013)], \textit{M. Boileau}, \textit{F. Gonzalez-Acuña} and \textit{J. M. Montesinos} posed the question: Do there exist knots with no nontrivial symmetries which yield manifolds which are two-fold branched covers of the 3-sphere by nontrivial Dehn surgery. This question is answered in this paper by using techniques from hyperbolic geometry to construct an infinite family of knots with the required property.
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knots
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symmetries
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branched covers
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hyperbolic
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0.9081254
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0.90192646
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