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

2015/02/13 by Leila Ben Abdelghani, Michael Heusener, Abdelghani, Leila Ben +1
Mathematics · Medicine · #Geometric and Algebraic Topology #Botulinum Toxin and Related Neurological Disorders #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1502.03999

Abstract

The aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into SL(n,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 SL(n,C).

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