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Symmetric quandle colorings and ribbon concordance

Published 19 Dec 2022 in math.GT | (2212.09218v2)

Abstract: A quandle can always trivially color an orientable surface-link. This note shows that the surface-link 101<sup>−1,−110_1<sup>{-1,-1} of Yoshikawa's table cannot be colored by a symmetric dihedral quandle of order 4, and explains how this obstructs a generalized ribbon concordance between another link of two projective planes 81<sup>−1,−18_1<sup>{-1,-1} that does admit a coloring by the same symmetric dihedral quandle.

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