Constructing Seifert surfaces from n-bridge link projections

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dc.creatorLicata, Joan E.
dc.date2008-01-30
dc.date.accessioned2026-07-07T08:57:26Z
dc.date.available2026-07-07T08:57:26Z
dc.descriptionThis paper presents a new algorithm "A" for constructing Seifert surfaces from n-bridge projections of links. The algorithm produces minimal complexity surfaces for large classes of braids and alternating links. In addition, we consider a family of knots for which the canonical genus is strictly greater than the genus, (g_c(K) > g(K)), and show that A builds surfaces realizing the knot genus g(K). We also present a generalization of Seifert's algorithm which may be used to construct surfaces representing arbitrary relative second homology classes in a link complement.
dc.description19 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/0801.4800
dc.identifierhttp://arxiv.org/abs/0801.4800
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146971
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57M27; 57M25
dc.titleConstructing Seifert surfaces from n-bridge link projections
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