The virtual Haken conjecture: Experiments and examples

@article{Dunfield2003TheVH,
  title={The virtual Haken conjecture: Experiments and examples},
  author={Nathan M. Dunfield and William P. Thurston},
  journal={Geometry \& Topology},
  year={2003},
  volume={7},
  pages={399-441}
}
A 3-manifold is Haken if it contains a topologically essential surface. The Virtual Haken Conjecture says that every irreducible 3-manifold with innite fundamental group has a nite cover which is Haken. Here, we discuss two interrelated topics concerning this conjecture. First, we describe computer experiments which give strong evidence that the Virtual Haken Conjecture is true for hyperbolic 3-manifolds. We took the complete HodgsonWeeks census of 10,986 small-volume closed hyperbolic 3… 
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