The virtual fibering theorem for 3-manifolds

Abstract

In 2007 Agol showed that if N is an aspherical compact 3-manifold with empty or toroidal boundary such that its fundamental group is virtually RFRS, then $N$ is virtually fibered. We give a largely self-contained proof of Agol's theorem using complexities of sutured manifolds.Comment: 25 pages, 6 figures v3: slightly revised an argument, otherwise minor change