A 1-parameter approach to links in a solid torus
| dc.creator | Fiedler, T. | |
| dc.creator | Kurlin, V. | |
| dc.date | 2006-06-15 | |
| dc.date | 2008-10-23 | |
| dc.date.accessioned | 2026-07-07T10:12:32Z | |
| dc.date.available | 2026-07-07T10:12:32Z | |
| dc.description | To an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way that links are isotopic if and only if their trace graphs can be related by moves of finitely many standard types. The key ingredient is a study of codimension~2 singularities of link diagrams. For closed braids with a fixed number of strands, trace graphs can be recognized up to equivalence excluding one type of moves in polynomial time with respect to the braid length. | |
| dc.description | 38 pages, 14 figures, the applications on closed braids were moved to another paper `Recognising trace graphs of closed braids' (arXiv:0808.2713), more details were added on versal deformations of codimension 2 singularities | |
| dc.identifier | https://arxiv.org/abs/math/0606381 | |
| dc.identifier | http://arxiv.org/abs/math/0606381 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172210 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R45; 57M25; 53A04 | |
| dc.title | A 1-parameter approach to links in a solid torus | |
| dc.type | text |