2004/07/31 by Daryl Cooper, Genevieve Walsh, Genevieve S Walsh · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Combinatorial Mathematics #Connective tissue disorders research #Geometric and Algebraic Topology #math.GT #msc:57M10 #msc:57M25
paper · pdf · doi:10.2140/gt.2006.10.2237
published as Geom. Topol. 10 (2006) 2237-2245 · This is the version published by Geometry & Topology on 29 November 2006
openalex publication_date 2006/11/29 · arxiv created 2009/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.