论文标题
阴影量子旋转的旋律不变
The shadow quandle cocycle invariant of knotoids
论文作者
论文摘要
本文使用影子拼写和阴影Quandle Cocycle不变性研究了结的手性。阴影着色数和阴影拼图杂志不变式被证明可以将无限的许多结与镜子区分开。具体而言,结型打结$ 3_1 $显示为手性。 Quandle 3循环的重量用于计算无限多个多链体的交叉数。
This paper studies the chirality of knotoids using shadow quandle colorings and the shadow quandle cocycle invariant. The shadow coloring number and the shadow quandle cocycle invariant is shown to distinguish infinitely many knotoids from their mirrors. Specifically, the knot-type knotoid $3_1$ is shown to be chiral. The weight of a quandle 3-cocycle is used to calculate the crossing numbers of infinitely many multi-linkoids.