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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4244
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| 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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