论文标题
特征$(2,3,7)$ - 椒盐脆饼结的斜率
Characterizing slopes for the $(-2,3,7)$-pretzel knot
论文作者
论文摘要
在本说明中,我们展示了表征结节斜率$ 12N242 $的具体示例,又名$(-2,3,7)$ - 椒盐脆饼结。尽管拉克森比(Lackenby)表明,每个结都能无限地承认许多斜坡的表征,但证明的非结构性性质意味着,很少有双曲线结的明确示例是表征斜坡的明确示例。
In this note we exhibit concrete examples of characterizing slopes for the knot $12n242$, aka the $(-2,3,7)$-pretzel knot. Although it was shown by Lackenby that every knot admits infinitely many characterizing slopes, the non-constructive nature of the proof means that there are very few hyperbolic knots for which explicit examples of characterizing slopes are known.