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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.38 (2006) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4135
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| Title: | Hyperbolic Knots and Links with a Common Cyclic Branched Covering: Known Results and Open Problems |
| Authors: | Zimmermann, Bruno P. |
| Issue Date: | 2006 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | Bruno P. Zimmermann, "Hyperbolic Knots and Links with a Common Cyclic Branched Covering: Known Results and Open Problems", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 38 (2006), pp. 95-107. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
38 (2006) |
| Abstract: | We give a survey on recent progress and remaining
open problems on the number and the geometry of knots and
links which have a hyperbolic 3-manifold M as a common cyclic
branched covering. This is strongly related to the algebra and
the geometry of the finite isometry group G of M, and it naturally divides into the two cases G solvable and G non-solvable.
The solvable case is relatively well understood whereas the non-
solvable case remains somewhat mysterious. |
| URI: | http://hdl.handle.net/10077/4135 |
| ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.38 (2006)
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