English

The virtual fibering theorem for 3-manifolds

Geometric Topology 2013-11-26 v3

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 NN is virtually fibered. We give a largely self-contained proof of Agol's theorem using complexities of sutured manifolds.

Keywords

Cite

@article{arxiv.1210.4799,
  title  = {The virtual fibering theorem for 3-manifolds},
  author = {Stefan Friedl and Takahiro Kitayama},
  journal= {arXiv preprint arXiv:1210.4799},
  year   = {2013}
}

Comments

25 pages, 6 figures v3: slightly revised an argument, otherwise minor changes

R2 v1 2026-06-21T22:23:26.301Z