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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4244

Title: On Hyperbolic Type Involutions
Authors: Paoluzzi, Luisa
Keywords: hyperbolic knots
cyclic branched covers
orbifolds
Bonahon-Siebenmann decomposition
Seifert fibrations
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: Luisa Paoluzzi, "On hyperbolic type involutions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 221–256.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
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.
URI: http://hdl.handle.net/10077/4244
ISSN: 0049-4704
MS Classification: 57M25
57M12
57M50
57M60
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1

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