Fiber quadrisecants in knot isotopies

Simple item page
dc.creatorFiedler, T.
dc.creatorKurlin, V.
dc.date2007-01-30
dc.date.accessioned2026-07-07T07:43:52Z
dc.date.available2026-07-07T07:43:52Z
dc.descriptionFix a straight line L in Euclidean 3-space and consider the fibration of the complement of L by half-planes. A generic knot K in the complement of L has neither fiber quadrisecants nor fiber extreme secants such that K touches the corresponding half-plane at 2 points. Both types of secants occur in generic isotopies of knots. We give lower bounds for the number of these fiber secants in all isotopies connecting given isotopic knots. The bounds are expressed in terms of invariants calculable in linear time with respect to the number of crossings.
dc.description12 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0701878
dc.identifierhttp://arxiv.org/abs/math/0701878
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122996
dc.subjectGeometric Topology
dc.subject57M25
dc.titleFiber quadrisecants in knot isotopies
dc.typetext

Files

Collections

arXiv