Seifert manifolds and (1,1)-knots
| dc.creator | Grasselli, Luigi | |
| dc.creator | Mulazzani, Michele | |
| dc.date | 2005-10-15 | |
| dc.date.accessioned | 2026-07-07T06:47:31Z | |
| dc.date.available | 2026-07-07T06:47:31Z | |
| dc.description | The aim of this paper is to investigate the relations between Seifert manifolds and (1,1)-knots. In particular, we prove that every orientable Seifert manifold with invariants {Oo,0|-1;(p,q),...,(p,q),(l, l-1)} has a cyclically presented fundamental group and, moreover, it is the n-fold strongly-cyclic covering of the lens space L(|nlq-p|,q), branched over the (1,1)-knot K(q,q(nl-2),p-2q,p-q) if p>=2q, and over the (1,1)-knot K(p-q,2q-p,q(nl-2),p-q) if p<2q. | |
| dc.description | 20 pages, 17 figures | |
| dc.identifier | https://arxiv.org/abs/math/0510318 | |
| dc.identifier | http://arxiv.org/abs/math/0510318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103676 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12; 57M25 | |
| dc.title | Seifert manifolds and (1,1)-knots | |
| dc.type | text |