Arc distance equals level number

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dc.creatorCho, Sangbum
dc.creatorMcCullough, Darryl
dc.creatorSeo, Arim
dc.date2009-01-11
dc.date.accessioned2026-07-07T12:28:21Z
dc.date.available2026-07-07T12:28:21Z
dc.descriptionA knot K in 1-bridge position with respect to a genus-g Heegaard surface in a 3-manifold can be moved by isotopy through knots in 1-bridge position until it lies in a union of n parallel genus-g surfaces tubed together by n-1 straight tubes, with K intersecting each tube in two arcs connecting the ends. We prove that the minimum n for which this is possible is equal to a Hempel-type distance invariant defined using an arc complex of the two holed genus-g surface
dc.description8 pages, 4 figures, to appear in Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0901.1467
dc.identifierhttp://arxiv.org/abs/0901.1467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215512
dc.subjectGeometric Topology
dc.subject57M25
dc.titleArc distance equals level number
dc.typetext

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