Mathematics – Geometric Topology
Scientific paper
2008-04-08
Mathematics
Geometric Topology
9 pages
Scientific paper
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.
Lackenby Marc
Long Darren D.
Reid Alan W.
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