Profinite rigidity witnessed by Dehn fillings of cusped hyperbolic
3-manifolds
Profinite rigidity witnessed by Dehn fillings of cusped hyperbolic
3-manifolds
Any profinite isomorphism between two cusped finite-volume hyperbolic 3-manifolds carries profinite isomorphisms between their Dehn fillings. With this observation, we prove that some cusped finite-volume hyperbolic 3-manifolds are profinitely rigid among all compact, orientable 3-manifolds, through detecting their exceptional Dehn fillings. In addition, we improved a criteria for profinite rigidity …