Deformations of reducible representations of knot groups into $\mathrm{SL}(n,\mathbf{C})$

Michael Heusener, Ouardia Medjerab

Let $K$ be a knot in $S^3$ and $X$ its complement. We study deformations of non-abelian, metabelian, reducible representations of the knot group $\pi \_1(X)$ into $\mathrm{SL}(n,\math…