论文标题

对称的难题着色和缎带一致性

Symmetric quandle colorings and ribbon concordance

论文作者

Cazet, Nicholas

论文摘要

一个问题始终可以使可定向的表面链接鲜明地着色。该注释表明,Yoshikawa表的表面链接$ 10_1^{ - 1,-1,-1} $无法通过对称的二面二面demedle的颜色,并解释了这是如何阻碍两个投影平面之间的另一个链接$ 8_1^{ - 1,-1,-1,-1,-1,-1,-1,-1} $ dih dih dih dih dih quard f yeme questricric f yeme dih questric的链接之间的一致性一致性。

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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