Virtual Crossing Realization

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dc.creatorNelson, Sam
dc.date2003-03-06
dc.date2004-03-27
dc.date.accessioned2026-07-07T06:24:18Z
dc.date.available2026-07-07T06:24:18Z
dc.descriptionWe study virtual isotopy sequences with classical initial and final diagrams, asking when such a sequence can be changed into a classical isotopy sequence by replacing virtual crossings with classical crossings. An example of a sequence for which no such virtual crossing realization exists is given. A conjecture on conditions for realizability of virtual isotopy sequences is proposed, and a sufficient condition for realizability is found. The conjecture is reformulated in terms of 2-knots and knots in thickened surfaces.
dc.description21 pages, 10 figures. To appear in J. Knot Theory Ramifications. Version 6 includes revisions suggested by the reviewer
dc.identifierhttps://arxiv.org/abs/math/0303077
dc.identifierhttp://arxiv.org/abs/math/0303077
dc.identifierJ. Knot Theory Ramifications 14 (2005) 931-951.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96499
dc.subjectGeometric Topology
dc.subject55A25
dc.titleVirtual Crossing Realization
dc.typetext

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