Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices

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dc.creatorCarter, J. Scott
dc.creatorHarris, Angela
dc.creatorNikiforou, Marina Appiou
dc.creatorSaito, Masahico
dc.date2002-04-10
dc.date.accessioned2026-07-07T04:47:32Z
dc.date.available2026-07-07T04:47:32Z
dc.descriptionThe theory of quandle (co)homology and cocycle knot invariants is rapidly being developed. We begin with a summary of these recent advances. One such advance is the notion of a dynamical cocycle. We show how dynamical cocycles can be used to color knotted surfaces that are obtained from classical knots by twist-spinning. We also demonstrate relations between cocycle invariants and Alexander matrices.
dc.description24 pages, 10 figures. submitted to the Kyoto conf. proceedings
dc.identifierhttps://arxiv.org/abs/math/0204113
dc.identifierhttp://arxiv.org/abs/math/0204113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63757
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25; 57Q45; 57M05; 55N99; 55N22
dc.titleCocycle Knot Invariants, Quandle Extensions, and Alexander Matrices
dc.typetext

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