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Article Dans Une Revue Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics Année : 2001

On hyperbolic type involutions

Résumé

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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Dates et versions

hal-00638122 , version 1 (03-11-2011)

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  • HAL Id : hal-00638122 , version 1

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Luisa Paoluzzi. On hyperbolic type involutions. Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics, 2001, 32, pp.221-256. ⟨hal-00638122⟩
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