English

Virtually Haken fillings and semi-bundles

Geometric Topology 2009-03-02 v5

Abstract

Suppose that M is a fibered three-manifold whose fiber is a surface of positive genus with one boundary component. Assume that M is not a semi-bundle. We show that infinitely many fillings of M along dM are virtually Haken. It follows that infinitely many Dehn-surgeries of any non-trivial knot in the three-sphere are virtually Haken.

Keywords

Cite

@article{arxiv.math/0407328,
  title  = {Virtually Haken fillings and semi-bundles},
  author = {Daryl Cooper and Genevieve S Walsh},
  journal= {arXiv preprint arXiv:math/0407328},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology on 29 November 2006

R2 v1 2026-07-22T17:07:57.259Z