All strongly-cyclic branched coverings of (1,1)-knots are Dunwoody manifolds
| dc.creator | Cattabriga, Alessia | |
| dc.creator | Mulazzani, Michele | |
| dc.date | 2003-09-18 | |
| dc.date | 2004-03-04 | |
| dc.date.accessioned | 2026-07-07T05:01:15Z | |
| dc.date.available | 2026-07-07T05:01:15Z | |
| dc.description | We show that every strongly-cyclic branched covering of a (1,1)-knot is a Dunwoody manifold. This result, together with the converse statement previously obtained by Grasselli and Mulazzani, proves that the class of Dunwoody manifolds coincides with the class of strongly-cyclic branched coverings of (1,1)-knots. As a consequence, we obtain a parametrization of (1,1)-knots by 4-tuples of integers. Moreover, using a representation of (1,1)-knots by the mapping class group of the twice punctured torus, we provide an algorithm which gives the parametrization of all torus knots. | |
| dc.description | 22 pages, 19 figures. Revised version with minor changes in Proposition 5. Accepted for publication in the Journal of the London Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/0309298 | |
| dc.identifier | http://arxiv.org/abs/math/0309298 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68607 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12; 57N10; 57M25 | |
| dc.title | All strongly-cyclic branched coverings of (1,1)-knots are Dunwoody manifolds | |
| dc.type | text |