A Diagrammatic Construction of Third Homology Classes of Knot Quandles - Mathematics > Geometric TopologyReportar como inadecuado




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Abstract: We construct elements of the third quandle homology groups of knot quandles,which are called the shadow fundamental classes. They play the same roles forthe shadow quandle cocycle invariants of knots as the fundamental classes ofknot quandles does for the quandle cocycle invariants. As an application of theshadow fundamental classes, we show the relation between the shadow quandlecocycle invariants and the based shadow quandle cocycle invariants. Moreover,we will show, for a prime knot, that any third quandle homology classes areconsidered as images of the shadow fundamental classes of some links.



Autor: Yasto Kimura

Fuente: https://arxiv.org/







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