Bridge Number and the Curve Complex

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dc.creatorJohnson, Jesse
dc.date2006-03-03
dc.date2006-03-16
dc.date.accessioned2026-07-07T07:06:31Z
dc.date.available2026-07-07T07:06:31Z
dc.descriptionWe show that there are hyperbolic tunnel-number one knots with arbitrarily high bridge number and that "most" tunnel-number one knots are not one-bridge with respect to an unknotted torus. The proof relies on a connection between bridge number and a certain distance in the curve complex of a genus-two surface.
dc.description13 pages, 3 figures. References have been added and the order of exposition changed slightly
dc.identifierhttps://arxiv.org/abs/math/0603102
dc.identifierhttp://arxiv.org/abs/math/0603102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110055
dc.subjectGeometric Topology
dc.subject57M
dc.titleBridge Number and the Curve Complex
dc.typetext

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