On high-dimensional representations of knot groups
On high-dimensional representations of knot groups
Given a hyperbolic knot K and any n ≥ 2 the abelian representations and the holonomy representation each give rise to an (n-1)-dimensional component in the SL(n, C)-character variety.A component of the SL(n, C)-character variety of dimension ≥ n is called high-dimensional.It was proved by Cooper and Long that there …