Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots

Abstract

We prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in $S{O}_0(4,1)$. Here rigidity means that any discrete and faithful representation in $S{O}_0(4,1)$ is conjugate to the holonomy representation in $S{O}_0(3,1)$. We also show local rigidity for almost all Dehn fillings.

References updated and some minor changes