The loop expansion of the Kontsevich integral, the null move and S-equivalence
| dc.creator | Garoufalidis, Stavros | |
| dc.creator | Rozansky, Lev | |
| dc.date | 2000-03-28 | |
| dc.date | 2003-10-14 | |
| dc.date.accessioned | 2026-07-07T04:34:29Z | |
| dc.date.available | 2026-07-07T04:34:29Z | |
| dc.description | This is a substantially revised version. The Kontsevich integral of a knot is a graph-valued invariant which (when graded by the Vassiliev degree of graphs) is characterized by a universal property; namely it is a universal Vassiliev invariant of knots. We introduce a second grading of the Kontsevich integral, the Euler degree, and a geometric null-move on the set of knots. We explain the relation of the null-move to S-equivalence, and the relation to the Euler grading of the Kontsevich integral. The null move leads in a natural way to the introduction of trivalent graphs with beads, and to a conjecture on a rational version of the Kontsevich integral, formulated by the second author and proven in joint work of the first author and A. Kricker. | |
| dc.description | AMS-LaTeX, 20 pages with 31 figures | |
| dc.identifier | https://arxiv.org/abs/math/0003187 | |
| dc.identifier | http://arxiv.org/abs/math/0003187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58919 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | The loop expansion of the Kontsevich integral, the null move and S-equivalence | |
| dc.type | text |