LERF and the Lubotzky-Sarnak conjecture
classification
🧮 math.GT
math.DG
keywords
conjecturefamilylerflubotzky-sarnakmanifoldadditioncheegerclosed
read the original abstract
We prove that every closed hyperbolic 3-manifold has a family of (possibly infinite sheeted) coverings with the property that the Cheeger constants in the family tend to zero. This is used to show that, if in addition the fundamental group of the manifold is LERF, then it satisfies the Lubotzky-Sarnak conjecture.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.