Diagrammatic Computations for Quandles and Cocycle Knot Invariants

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dc.creatorCarter, J. Scott
dc.creatorKamada, Seiichi
dc.creatorSaito, Masahico
dc.date2001-02-12
dc.date.accessioned2026-07-07T04:40:07Z
dc.date.available2026-07-07T04:40:07Z
dc.descriptionThe state-sum invariants for knots and knotted surfaces defined from quandle cocycles are described using the Kronecker product between cycles represented by colored knot diagrams and a cocycle of a finite quandle used to color the diagram. Such an interpretation is applied to evaluating the invariants. Algebraic interpretations of quandle cocycles as deformations of extensions are also given. The proofs rely on colored knot diagrams.
dc.description24 Pages; 23 Figures; an applification of recent talks given in San Francisco and Siegen
dc.identifierhttps://arxiv.org/abs/math/0102092
dc.identifierhttp://arxiv.org/abs/math/0102092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60929
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subjectPrimary 57M25, 57Q45
dc.titleDiagrammatic Computations for Quandles and Cocycle Knot Invariants
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