Virtual Knot Invariants from Group Biquandles and Their Cocycles

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dc.creatorCarter, J. Scott
dc.creatorElhamdadi, Mohamed
dc.creatorSaito, Masahico
dc.creatorSilver, Daniel S.
dc.creatorWilliams, Susan G.
dc.date2007-03-20
dc.date.accessioned2026-07-07T07:52:53Z
dc.date.available2026-07-07T07:52:53Z
dc.descriptionA group-theoretical method, via Wada's representations, is presented to distinguish Kishino's virtual knot from the unknot. Biquandles are constructed for any group using Wada's braid group representations. Cocycle invariants for these biquandles are studied. These invariants are applied to show the non-existence of Alexander numberings and checkerboard colorings.
dc.description14 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0703594
dc.identifierhttp://arxiv.org/abs/math/0703594
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126046
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleVirtual Knot Invariants from Group Biquandles and Their Cocycles
dc.typetext

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