Calculus of the first non-trivial 1-cocycle of the space of long knots
| dc.creator | Tourtchine, Victor | |
| dc.date | 2005-02-24 | |
| dc.date | 2005-04-18 | |
| dc.date.accessioned | 2026-07-07T05:17:27Z | |
| dc.date.available | 2026-07-07T05:17:27Z | |
| dc.description | For the space of long knots in R^3, Vassiliev's theory defines the so called finite order cocycles. Zero degree cocycles are finite type knot invariants. The first non-trivial cocycle of positive dimension in the space of long knots has dimension one and order three. We apply Vassiliev's combinatorial formula, and find the value mod 2 of this cocycle on the 1-cycles that are obtained by dragging knots one along the other or by rotating around a fixed line. | |
| dc.description | 15 pages, 2 figures In the second version, only the transcription of author's name changed: turchin->tourtchine | |
| dc.identifier | https://arxiv.org/abs/math/0502518 | |
| dc.identifier | http://arxiv.org/abs/math/0502518 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74309 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57M25 | |
| dc.title | Calculus of the first non-trivial 1-cocycle of the space of long knots | |
| dc.type | text |