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Mathematics  2004 

Virtually Haken fillings and semi-bundles

DOI: 10.2140/gt.2006.10.2237

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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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