The quandle and group for higher-dimensional and virtual knots

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dc.creatorWinter, Blake
dc.date2009-05-25
dc.date.accessioned2026-07-07T13:17:53Z
dc.date.available2026-07-07T13:17:53Z
dc.descriptionJoyce has shown that the fundamental quandle of a classical knot can be derived from consideration of the fundamental group and the peripheral structure of the knot, and also that the group and much of the peripheral structure can be recovered from the quandle. We generalize these results to arbitrary dimensions, and also to virtual and welded knots and arcs.
dc.description7 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0905.3948
dc.identifierhttp://arxiv.org/abs/0905.3948
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231258
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject17D99, 57R40
dc.titleThe quandle and group for higher-dimensional and virtual knots
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