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Irreducible representations of knot groups into SL(n,C)

By Leila Ben Abdelghani and Michael Heusener

Abstract

International audienceThe aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into $\mathrm{SL}(n,\mathbf{C})$ which generalise the representations studied previously by G.~Burde and G.~de Rham.Under specific hypotheses we prove the existence of irreducible deformations of such representations of knot groups into $\mathrm{SL}(n,\mathbf{C})$

Topics: variety of representations, knot group, Alexander module, MSC: 57M25; 57M05; 57M27, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
Publisher: 'Universitat Autonoma de Barcelona'
Year: 2017
DOI identifier: 10.5565/PUBLMAT6121703
OAI identifier: oai:HAL:hal-01116451v1

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