Abstract

We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO₀(4,1). Here rigidity means that any discrete and faithful representation in SO₀(4,1) is conjugate to the holonomy representation in SO₀(3,1). We also show local rigidity for almost all Dehn fillings.

Keywords

fuchsian representation, global rigidity, two-bridge knot, cuspidal cohomology, Dehn filling

Mathematical Subject Classification

Primary: 57M50

Authors