Bounding canonical genus bounds volume

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dc.creatorBrittenham, Mark
dc.date1998-09-24
dc.date.accessioned2026-07-07T05:26:08Z
dc.date.available2026-07-07T05:26:08Z
dc.descriptionA Seifert surface for a knot K is called canonical if it can be built by applying Seifert's algorithm to some projection of K. The canonical genus of K is the smallest genus of a surface so obtained. In this paper we show that there is a bound on the volume of a hyperbolic knot which admits a canonical surface of genus g. The bound can, in fact, be chosen to be linear in g.
dc.description9 pages, including 8 figures
dc.identifierhttps://arxiv.org/abs/math/9809142
dc.identifierhttp://arxiv.org/abs/math/9809142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77440
dc.subjectGeometric Topology
dc.subject57M25
dc.titleBounding canonical genus bounds volume
dc.typetext

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