论文标题
搜索与对称的问题的定向链接
Quandles versus symmetric quandles for oriented links
论文作者
论文摘要
给定一个问题，我们可以构造一个称为对称双重双重双重的对称的问题。我们表明，给定拼布的（CO）同源组与其对称双重双重的同构。此外，可以通过使用对称的搜索来解释定向链接和定向的表面链接的拼写数字和拼写的Cocycle不变性。
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.
