On hyperbolic type involutions

Abstract : We give a bound on the number of hyperbolic knots which are double covered by a fixed (non hyperbolic) manifold in terms of the number of tori and of the invariants of the Seifert fibred pieces of its Jaco-Shalen-Johannson decomposition. We also investigate the problem of finding the non hyperbolic knots with the same double cover of a hyperbolic one and give several examples to illustrate the results.
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https://hal.archives-ouvertes.fr/hal-00638122
Contributor : Luisa Paoluzzi <>
Submitted on : Thursday, November 3, 2011 - 11:51:11 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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Luisa Paoluzzi. On hyperbolic type involutions. Rend. Istit. Mat. Univ. Trieste., 2001, 32, pp.221-256. ⟨hal-00638122⟩

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