On a theorem of Goussarov
| dc.creator | Conant, Jim | |
| dc.date | 2001-10-04 | |
| dc.date.accessioned | 2026-07-07T04:43:40Z | |
| dc.date.available | 2026-07-07T04:43:40Z | |
| dc.description | In this paper, the easier methods of my thesis are applied to give a simple proof of a theorem of Goussarov. The theorem relates two possible notions of finite type equivalence of knots, links or string links, showing that the resulting filtrations are the same up to a degree shift by a factor of two. This is then applied to the situation of rooted claspers to show that rooted claspers of sufficiently high degree must preserve type k invariants. As a consequence, grope cobordisms of sufficiently high class must preserve type k invariants. This result is applied in math.GT/0012118, to show Theorem 2 of that paper. | |
| dc.identifier | https://arxiv.org/abs/math/0110057 | |
| dc.identifier | http://arxiv.org/abs/math/0110057 | |
| dc.identifier | J. Knot Theory Ramifications, Vol. 12, No. 1 (2003) 47-52 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62328 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M27 | |
| dc.title | On a theorem of Goussarov | |
| dc.type | text |