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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169561We prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in $SO_0(4,1)$. Here rigidity means that any discrete and faithful representation in $SO_0(4,1)$ is conjugate to the holonomy representation in $SO_0(3,1)$. We also show local rigidity for almost all Dehn fillings.References updated and some minor changesGeometric Topology57M50Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knotstext