Deformations of metabelian representations of knot groups into $SL(3,\mathbb{C})$
| dc.creator | Abdelghani, Leila Ben | |
| dc.creator | Heusener, Michael | |
| dc.creator | Jebali, Hajer | |
| dc.date | 2007-10-18 | |
| dc.date | 2008-10-16 | |
| dc.date.accessioned | 2026-07-07T10:10:07Z | |
| dc.date.available | 2026-07-07T10:10:07Z | |
| dc.description | Let K be a knot in $S^3$ and $X$ its complement. We study deformations of reducible metabelian representations of the knot group $π_1(X)$ into $SL(3,\mathbb{C})$ which are associated to a double root of the Alexander polynomial. We prove that these reducible metabelian representations are smooth points of the representation variety and that they have irreducible non metabelian deformations. | |
| dc.description | Accepted in Journal of Knot Theory and Its Ramifications | |
| dc.identifier | https://arxiv.org/abs/0710.3511 | |
| dc.identifier | http://arxiv.org/abs/0710.3511 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171523 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57M27; 20C15 | |
| dc.title | Deformations of metabelian representations of knot groups into $SL(3,\mathbb{C})$ | |
| dc.type | text |