Heegaard splittings and virtually Haken Dehn filling II

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dc.creatorMasters, Joseph D.
dc.creatorMenasco, William
dc.creatorZhang, Xingru
dc.date2006-12-07
dc.date2006-12-07
dc.date.accessioned2026-07-07T07:34:45Z
dc.date.available2026-07-07T07:34:45Z
dc.descriptionWe use Heegaard splittings to give a criterion for a tunnel number one knot manifold to be non-fibered and to have large cyclic covers. We also show that such a knot manifold (satisfying the criterion) admits infinitely many virtually Haken Dehn fillings. Using a computer, we apply this criterion to the 2 generator, non-fibered knot manifolds in the cusped Snappea census. For each such manifold M, we compute a number c(M), such that, for any n>c(M), the n-fold cyclic cover of M is large.
dc.description17 pages, 1 figure, 1 table
dc.identifierhttps://arxiv.org/abs/math/0612199
dc.identifierhttp://arxiv.org/abs/math/0612199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119875
dc.subjectGeometric Topology
dc.subject57M10
dc.titleHeegaard splittings and virtually Haken Dehn filling II
dc.typetext

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