Distance and bridge position

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dc.creatorBachman, David
dc.creatorSchleimer, Saul
dc.date2003-08-29
dc.date.accessioned2026-07-07T05:00:42Z
dc.date.available2026-07-07T05:00:42Z
dc.descriptionJ. Hempel's definition of the distance of a Heegaard surface generalizes to a complexity for a knot which is in bridge position with respect to a Heegaard surface. Our main result is that the distance of a knot in bridge position is bounded above by twice the genus, plus the number of boundary components, of an essential surface in the knot complement. As a consequence knots constructed via sufficiently high powers of pseudo-Anosov maps have minimal bridge presentations which are thin.
dc.description14 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0308297
dc.identifierhttp://arxiv.org/abs/math/0308297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68419
dc.subjectGeometric Topology
dc.subject57M25
dc.titleDistance and bridge position
dc.typetext

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