A knot bounding a grope of class n is n/2-trivial
| dc.creator | Conant, James | |
| dc.date | 1999-07-23 | |
| dc.date | 1999-07-30 | |
| dc.date.accessioned | 2026-07-07T05:30:03Z | |
| dc.date.available | 2026-07-07T05:30:03Z | |
| dc.description | In this article it is proven that if a knot, K, bounds an imbedded grope of class n, then the knot is n/2-trivial in the sense of Gusarov and Stanford. That is, all type n/2 invariants vanish on K. We also give a simple way to construct all knots bounding a grope of a given class. It is further shown that this result is optimal in the sense that for any n there exist gropes which are not n/2+1- trivial. | |
| dc.description | 32 pages, 25 figures, additional reference material added | |
| dc.identifier | https://arxiv.org/abs/math/9907158 | |
| dc.identifier | http://arxiv.org/abs/math/9907158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78873 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | A knot bounding a grope of class n is n/2-trivial | |
| dc.type | text |