Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots
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We 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 changes
References updated and some minor changes