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

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

2007-12-10

arxiv.org/abs/0712.1539v2

Pacific Journal of Mathematics 238 (2008), No. 2, 249-274.

Mathematics

Geometric Topology

References updated and some minor changes

Scientific paper

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.

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