Virtually Haken fillings and semi-bundles

Details Virtually Haken fillings and semi-bundles Virtually Haken fillings and semi-bundles

2004-07-19

arxiv.org/abs/math/0407328v5

Geom. Topol. 10 (2006) 2237-2245

Mathematics

Geometric Topology

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

Scientific paper

10.2140/gt.2006.10.2237

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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