Legendrian ribbons in overtwisted contact structures

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dc.creatorBaader, S.
dc.creatorCieliebak, K.
dc.creatorVogel, T.
dc.date2007-08-08
dc.date.accessioned2026-07-07T08:22:45Z
dc.date.available2026-07-07T08:22:45Z
dc.descriptionWe show that a null-homologous transverse knot K in the complement of an overtwisted disk in a contact 3-manifold is the boundary of a Legendrian ribbon if and only if it possesses a Seifert surface S such that the self-linking number of K with respect to S satisfies $\sel(K,S)=-χ(S)$. In particular, every null-homologous topological knot type in an overtwisted contact manifold can be represented by the boundary of a Legendrian ribbon. Finally, we show that a contact structure is tight if and only if every Legendrian ribbon minimizes genus in its relative homology class.
dc.description6 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0708.1087
dc.identifierhttp://arxiv.org/abs/0708.1087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135761
dc.subjectGeometric Topology
dc.subject57M25
dc.titleLegendrian ribbons in overtwisted contact structures
dc.typetext

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