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June 10, 2010Open Access

Homology groups of symmetric quandles and cocycle invariants of links and surface-links

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Resumen

We introduce the notion of a quandle with a good involution and its homology groups. Carter et al. defined quandle cocycle invariants for oriented links and oriented surface-links. By use of good involutions, quandle cocyle invariants can be defined for links and surface-links which are not necessarily oriented or orientable. The invariants can be used in order to estimate the minimal triple point numbers of non-orientable surface-links.

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Kamada et al. (Thu,) studied this question.

synapsesocial.com/papers/6a036b0bffb63c178681ea76 https://doi.org/https://doi.org/10.1090/s0002-9947-2010-05131-1

Homology groups of symmetric quandles and cocycle invariants of links and surface-links | Synapse

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