Pseudo-slice knots
| dc.creator | Livingston, Charles | |
| dc.date | 2000-07-14 | |
| dc.date.accessioned | 2026-07-07T06:22:17Z | |
| dc.date.available | 2026-07-07T06:22:17Z | |
| dc.description | For n >1, if the Seifert form of a knotted 2n-1 sphere K in S^{2n+1} has a metabolizer, then the knot is slice. Casson and Gordon proved that this is false in dimension three (n = 1). However, in the three dimensional case it is true that if the metabolizer has a basis represented by a strongly slice link then K is slice. The question has been asked as to whether it is sufficient that each basis element is represented by a slice knot to assure that K is slice. For genus one knots this is of course true; here we present a genus two counterexample. | |
| dc.identifier | https://arxiv.org/abs/math/0007088 | |
| dc.identifier | http://arxiv.org/abs/math/0007088 | |
| dc.identifier | Proceedings AMS 130 (2002), 1551-1555 (title: New examples of non-slice, algebraically slice knots). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95864 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Pseudo-slice knots | |
| dc.type | text |