Representations of (1,1)-knots
| dc.creator | Cattabriga, Alessia | |
| dc.creator | Mulazzani, Michele | |
| dc.date | 2005-01-14 | |
| dc.date | 2005-10-24 | |
| dc.date.accessioned | 2026-07-07T06:39:17Z | |
| dc.date.available | 2026-07-07T06:39:17Z | |
| dc.description | We present two different representations of (1,1)-knots and study some connections between them. The first representation is algebraic: every (1,1)-knot is represented by an element of the pure mapping class group of the twice punctured torus. The second representation is parametric: every (1,1)-knot can be represented by a 4-tuple of integer parameters. The strict connection of this representation with the class of Dunwoody manifolds is illustrated. The above representations are explicitly obtained in some interesting cases, including two-bridge knots and torus knots. | |
| dc.description | 16 pages, 7 figures. To appear in Fundamenta Mathematicae, special volume Proceedings of Knots in Poland, vol. II | |
| dc.identifier | https://arxiv.org/abs/math/0501234 | |
| dc.identifier | http://arxiv.org/abs/math/0501234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101022 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57M12 | |
| dc.title | Representations of (1,1)-knots | |
| dc.type | text |