The Classification of Spun Torus Knots

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dc.creatorWinter, Blake
dc.date2007-11-11
dc.date2008-08-07
dc.date.accessioned2026-07-07T09:55:15Z
dc.date.available2026-07-07T09:55:15Z
dc.descriptionS. Satoh has defined a construction to obtain a ribbon torus knot given a welded knot. This construction is known to be surjective. We show that it is not injective. Using the invariant of the peripheral structure, it is possible to provide a restriction on this failure of injectivity. In particular we also provide an algebraic classification of the construction when restricted to classical knots, where it is equivalent to the torus spinning construction.
dc.description12 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0711.1638
dc.identifierhttp://arxiv.org/abs/0711.1638
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166560
dc.subjectGeometric Topology
dc.subject57Q45
dc.titleThe Classification of Spun Torus Knots
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