Markov's theorem in 3--manifolds

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dc.creatorLambropoulou, Sofia
dc.creatorRourke, Colin P.
dc.date2004-05-26
dc.date.accessioned2026-07-07T05:08:36Z
dc.date.available2026-07-07T05:08:36Z
dc.descriptionIn this paper we first give a one-move version of Markov's braid theorem for knot isotopy in $S^3$ that sharpens the classical theorem. Then a relative version of Markov's theorem concerning a fixed braided portion in the knot. We also prove an analogue of Markov's theorem for knot isotopy in knot complements. Finally we extend this last result to prove a Markov theorem for links in an arbitrary orientable 3--manifold.
dc.description29 pages, 41 figures, LaTex document
dc.identifierhttps://arxiv.org/abs/math/0405498
dc.identifierhttp://arxiv.org/abs/math/0405498
dc.identifierTopology and its Applications, Vol. 78, pp. 95--122 (1997)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71330
dc.subjectGeometric Topology
dc.subject57M25
dc.titleMarkov's theorem in 3--manifolds
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