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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/10077/4246
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| Title: | Hidden Symmetries of Cyclic Branched Coverings of 2-Bridge Knots |
| Authors: | Reni, Marco
Vesnin, Andrei |
| Keywords: | cyclic branched covering
2-bridge knot
hyperbolic 3-manifold |
| Issue Date: | 2001 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | Marco Reni and Andrei Vesnin, "Hidden symmetries of cyclicbranched coverings of 2-bridge knots", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 289–304. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001) |
| Abstract: | We consider hyperbolic 3-manifolds $M_{n}\left(k\right)$, which are
n-fold cyclic branched coverings of 2-bridge knots K. We show that
for n $\geq$ 5 the orientation-preserving isometry group of $M_{n}\left(k\right)$
either is a lift of a symmetry group of K or has a very special structure. |
| URI: | http://hdl.handle.net/10077/4246 |
| ISSN: | 0049-4704 |
| MS Classification: | 57M12
57M25
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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