Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements II

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dc.creatorAdams, Colin
dc.creatorBennett, Hanna
dc.creatorDavis, Christopher
dc.creatorJennings, Michael
dc.creatorNovak, Jennifer
dc.creatorPerry, Nicholas
dc.creatorSchoenfeld, Eric
dc.date2004-11-16
dc.date.accessioned2026-07-07T05:14:23Z
dc.date.available2026-07-07T05:14:23Z
dc.descriptionWe generalize the results of [AS], finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each the lift of a rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we provide a uniqueness theorem and demonstrate that many knots cannot possess totally geodesic Seifert surfaces by giving bounds on the width invariant in the presence of such a surface. Finally, we utilize these examples to demonstrate that the Six Theorem is sharp for knot complements in the 3-sphere.
dc.identifierhttps://arxiv.org/abs/math/0411358
dc.identifierhttp://arxiv.org/abs/math/0411358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73255
dc.subjectGeometric Topology
dc.subject57M25; 57M50
dc.titleTotally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements II
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