Knots with only two strict essential surfaces

dc.creatorCuller, Marc
dc.creatorShalen, Peter B
dc.date2004-04-09
dc.date2004-12-23
dc.date.accessioned2026-07-07T05:07:19Z
dc.date.available2026-07-07T05:07:19Z
dc.descriptionWe consider irreducible 3-manifolds M that arise as knot complements in closed 3-manifolds and that contain at most two connected strict essential surfaces. The results in the paper relate the boundary slopes of the two surfaces to their genera and numbers of boundary components. Explicit quantitative relationships, with interesting asymptotic properties, are obtained in the case that M is a knot complement in a closed manifold with cyclic fundamental group.
dc.descriptionPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper14.abs.html
dc.identifierhttps://arxiv.org/abs/math/0404195
dc.identifierhttp://arxiv.org/abs/math/0404195
dc.identifierGeom. Topol. Monogr. 7 (2004) 335-430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70815
dc.subjectGeometric Topology
dc.subject57M15, 57M25, 57M50
dc.titleKnots with only two strict essential surfaces
dc.typetext

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