Symmetric surgery on asymmetric knots
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.
scientific article; zbMATH DE number 1031494