On Kontsevich integral of torus knots
| dc.creator | Marche, Julien | |
| dc.date | 2003-10-08 | |
| dc.date | 2003-12-09 | |
| dc.date.accessioned | 2026-07-07T05:01:43Z | |
| dc.date.available | 2026-07-07T05:01:43Z | |
| dc.description | We study the unwheeled rational Kontsevich integral of torus knots. We give a precise formula for these invariants up to loop degree 3 and show that they appear as colorings of simple diagrams. We show that they behave under cyclic branched coverings in a very simple way. Our proof is combinatorial: it uses the results of Wheels and Wheelings and new decorations of diagrams. | |
| dc.description | 10 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0310111 | |
| dc.identifier | http://arxiv.org/abs/math/0310111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68780 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27 | |
| dc.title | On Kontsevich integral of torus knots | |
| dc.type | text |