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.
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - 1 Dec 2008|
- Cuspidal cohomology
- Dehn filling
- Fuchsian representation
- Global rigidity
- Two-bridge knot