Symmetric quandle colorings and ribbon concordance

Nicholas Cazet

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arXiv · 2212.09218

Symmetric quandle colorings and ribbon concordance

Nicholas Cazet

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Abstract

A quandle can always trivially color an orientable surface-link. This note shows that the surface-link $10_1^{-1,-1}$ 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 $8_1^{-1,-1}$ that does admit a coloring by the same symmetric dihedral quandle.

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Nicholas Cazet. 2022-12-19. Symmetric quandle colorings and ribbon concordance. https://arxiv.org/abs/2212.09218

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