论文标题
琼斯多项式的新条件
A new condition on the Jones polynomial of a fibered positive link
论文作者
论文摘要
我们在琼斯多项式的最大程度上给出了一个新的上限。特别是，我们证明，琼斯阳性结的最大多项式的最大程度最多是最小程度的四倍。使用此结果，我们可以通过表明其余的七个未知的结并不积极的七个结，可以完成所有跨数$ \ leq 12 $的分类。 Stoimenow大约在同一时间独立进行了分类。
We give a new upper bound on the maximum degree of the Jones polynomial of a fibered positive link. In particular, we prove that the maximum degree of the Jones polynomial of a fibered positive knot is at most four times the minimum degree. Using this result, we can complete the classification of all knots of crossing number $\leq 12$ as positive or not positive, by showing that the seven remaining knots for which positivity was unknown are not positive. That classification was also done independently at around the same time by Stoimenow.
