Deformations of metabelian representations of knot groups into SL(3,C). - Université Clermont Auvergne Accéder directement au contenu
Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2010

Deformations of metabelian representations of knot groups into SL(3,C).

Résumé

Let K be a knot in in the 3-sphere and X its complement. We study deformations of reducible metabelian representations of the fundamental g group of X into SL(3,C) which are associated to a double root of the Alexander polynomial of K. We prove that these reducible metabelian representations are smooth points of the representation variety and that they have irreducible non metabelian deformations.

Dates et versions

hal-00463397 , version 1 (12-03-2010)

Identifiants

Citer

Leila Ben Abdelghani, Michael Heusener, Hajer Jebali. Deformations of metabelian representations of knot groups into SL(3,C).. Journal of Knot Theory and Its Ramifications, 2010, 19 (3), pp.385-404. ⟨10.1142/S0218216510007887⟩. ⟨hal-00463397⟩
66 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More