Strong S-equivalence of ordered links
| dc.creator | Gee, Carol Gwosdz | |
| dc.date | 2004-09-22 | |
| dc.date.accessioned | 2026-07-07T05:12:29Z | |
| dc.date.available | 2026-07-07T05:12:29Z | |
| dc.description | Recently Swatee Naik and Theodore Stanford proved that two S-equivalent knots are related by a finite sequence of doubled-delta moves on their knot diagrams. We show that classical S-equivalence is not sufficient to extend their result to ordered links. We define a new algebraic relation on Seifert matrices, called Strong S-equivalence, and prove that two oriented, ordered links L and L' are related by a sequence of doubled-delta moves if and only if they are Strongly S-equivalent. We also show that this is equivalent to the fact that L' can be obtained from L through a sequence of Y-clasper surgeries, where each clasper leaf has total linking number zero with L. | |
| dc.description | 23 pages, 14 figures | |
| dc.identifier | https://arxiv.org/abs/math/0409440 | |
| dc.identifier | http://arxiv.org/abs/math/0409440 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72595 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Strong S-equivalence of ordered links | |
| dc.type | text |