Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots
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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.