Virtually Haken fillings and semi-bundles

Daryl Cooper; Genevieve S Walsh

doi:10.2140/gt.2006.10.2237

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arXiv · math/0407328

Virtually Haken fillings and semi-bundles

Daryl Cooper·Genevieve S Walsh

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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.

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Daryl Cooper, Genevieve S Walsh. 2009-03-02. Virtually Haken fillings and semi-bundles. https://doi.org/10.2140/gt.2006.10.2237

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