Quandles versus symmetric quandles for oriented links

Kanako Oshiro

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arXiv · 2010.09983

Quandles versus symmetric quandles for oriented links

Kanako Oshiro

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Abstract

Given a quandle, we can construct a symmetric quandle called the symmetric double of the quandle. We show that the (co)homology groups of a given quandle are isomorphic to those of its symmetric double. Moreover, quandle coloring numbers and quandle cocycle invariants of oriented links and oriented surface-links can be interpreted by using symmetric quandles.

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Kanako Oshiro. 2020-10-20. Quandles versus symmetric quandles for oriented links. https://arxiv.org/abs/2010.09983

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