Geodesic
Virtually Haken fillings and semi-bundles
Cooper, Daryl1 ; Walsh, Genevieve S2
1 Math Department, UCSB, Santa Barbara, CA 93106, USA
2 Department of Math, Tufts University, Medford, MA 02155, USA, and, Département de Mathématiques, UQAM, Montréal, QC H3C 3J7, Canada
Geometry & topology, Tome 10 (2006) no. 4, pp. 2237-2245.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 ∂M are virtually Haken. It follows that infinitely many Dehn-surgeries of any non-trivial knot in the three-sphere are virtually Haken.

DOI : 10.2140/gt.2006.10.2237
Keywords: virtually Haken conjecture, Dehn filling, semi-bundles

Cooper, Daryl 1 ; Walsh, Genevieve S 2

1 Math Department, UCSB, Santa Barbara, CA 93106, USA
2 Department of Math, Tufts University, Medford, MA 02155, USA, and, Département de Mathématiques, UQAM, Montréal, QC H3C 3J7, Canada 
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Cooper, Daryl; Walsh, Genevieve S. Virtually Haken fillings and semi-bundles. Geometry & topology, Tome 10 (2006) no. 4, pp. 2237-2245. doi : 10.2140/gt.2006.10.2237. http://geodesic.mathdoc.fr/articles/10.2140/gt.2006.10.2237/

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