Geometric Interpretations of Quandle Homology

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dc.creatorCarter, J. Scott
dc.creatorKamada, Seiichi
dc.creatorSaito, Masahico
dc.date2000-06-16
dc.date.accessioned2026-07-07T04:35:54Z
dc.date.available2026-07-07T04:35:54Z
dc.descriptionGeometric representations of cycles in quandle homology theory are given in terms of colored knot diagrams. Abstract knot diagrams are generalized to diagrams with exceptional points which, when colored, correspond to degenerate cycles. Bounding chains are realized, and used to obtain equivalence moves for homologous cycles. The methods are applied to prove that boundary homomorphisms in a homology exact sequence vanish.
dc.description27 Figures 35 pages
dc.identifierhttps://arxiv.org/abs/math/0006115
dc.identifierhttp://arxiv.org/abs/math/0006115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59417
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject55N22; 55N99; 57M25; 57Q45
dc.titleGeometric Interpretations of Quandle Homology
dc.typetext

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