The many faces of cyclic branched coverings of 2-bridge knots and links
| dc.creator | Mulazzani, Michele | |
| dc.creator | Vesnin, Andrei | |
| dc.date | 2001-06-19 | |
| dc.date.accessioned | 2026-07-07T04:42:14Z | |
| dc.date.available | 2026-07-07T04:42:14Z | |
| dc.description | We discuss 3-manifolds which are cyclic coverings of the 3-sphere, branched over 2-bridge knots and links. Different descriptions of these manifolds are presented: polyhedral, Heegaard diagram, Dehn surgery and coloured graph constructions. Using these descriptions, we give presentations for their fundamental groups, which are cyclic presentations in the case of 2-bridge knots. The homology groups are given for a wide class of cases. Moreover, we prove that each singly-cyclic branched covering of a 2-bridge link is the composition of a meridian-cyclic branched covering of a determined link and a cyclic branched covering of a trivial knot. | |
| dc.description | 46 pages, 13 figures. To appear in Atti del Seminario Matematico e Fisico dell'Universita' di Modena, special issue dedicated to the memory of Mario Pezzana | |
| dc.identifier | https://arxiv.org/abs/math/0106164 | |
| dc.identifier | http://arxiv.org/abs/math/0106164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61692 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12; 57R65 | |
| dc.title | The many faces of cyclic branched coverings of 2-bridge knots and links | |
| dc.type | text |