Genus one 1-bridge knots and Dunwoody manifolds
| dc.creator | Grasselli, Luigi | |
| dc.creator | Mulazzani, Michele | |
| dc.date | 2000-03-07 | |
| dc.date.accessioned | 2026-07-07T04:34:13Z | |
| dc.date.available | 2026-07-07T04:34:13Z | |
| dc.description | In this paper we show that all 3-manifolds of a family introduced by M. J. Dunwoody are cyclic coverings of lens spaces (eventually $\bf S^3$), branched over genus one 1-bridge knots. As a consequence, we give a positive answer to the Dunwoody conjecture that all the elements of a wide subclass are cyclic coverings of $\bf S^3$ branched over a knot. Moreover, we show that all branched cyclic coverings of a 2-bridge knot belong to this subclass; this implies that the fundamental group of each branched cyclic covering of a 2-bridge knot admits a geometric cyclic presentation. | |
| dc.description | 24 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/0003042 | |
| dc.identifier | http://arxiv.org/abs/math/0003042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58820 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12, 57M25 (Primary); 20F05, 57M05 (Secondary) | |
| dc.title | Genus one 1-bridge knots and Dunwoody manifolds | |
| dc.type | text |