When does a satellite knot fiber?

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dc.creatorHirasawa, Mikami
dc.creatorMurasugi, Kunio
dc.creatorSilver, Daniel S.
dc.date2007-04-30
dc.date.accessioned2026-07-07T07:58:53Z
dc.date.available2026-07-07T07:58:53Z
dc.descriptionNecessary and sufficient conditions are given for a satellite knot to be fibered. Any knot $\tilde k$ embeds in an unknotted solid torus $\tilde V$ with arbitrary winding number in such a way that no satellite knot with pattern $(\tilde V, \tilde k)$ is fibered. In particular, there exist nonfibered satellite knots with fibered pattern and companion knots and nonzero winding number.
dc.description11 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0705.0012
dc.identifierhttp://arxiv.org/abs/0705.0012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128168
dc.subjectGeometric Topology
dc.subject57M25
dc.titleWhen does a satellite knot fiber?
dc.typetext

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