The number of primitive Vassiliev invariants up to degree 12
| dc.creator | Kneissler, Jan A. | |
| dc.date | 1997-06-18 | |
| dc.date.accessioned | 2026-07-07T09:17:36Z | |
| dc.date.available | 2026-07-07T09:17:36Z | |
| dc.description | We present algorithms giving upper and lower bounds for the number of independent primitive rational Vassiliev invariants of degree m modulo those of degree m-1. The values have been calculated for the formerly unknown degrees m = 10, 11, 12. Upper and lower bounds coincide, which reveals that all Vassiliev invariants of degree smaller 13 are orientation insensitive and are coming from representations of Lie algebras so and gl. Furthermore, a conjecture of Vogel is falsified and it is shown that the Λ-module of connected trivalent diagrams (Chinese characters) is not free. | |
| dc.description | 18 pages, latex, 30 postscript figures (uses epsf.tex), the paper is available at http://rhein.iam.uni-bonn.de/~jk/index.html | |
| dc.identifier | https://arxiv.org/abs/q-alg/9706022 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9706022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153724 | |
| dc.subject | Quantum Algebra | |
| dc.title | The number of primitive Vassiliev invariants up to degree 12 | |
| dc.type | text |