一对琼斯多项式正性障碍
A pair of Jones polynomial positivity obstructions
摘要:
给出了第二Jones系数等于$\pm 1$或$\pm 2$的正链环的Jones多项式的最大次数的一个新的界.这建立在我们以前的工作的结果,其中我们发现了这样一个绑定的积极纤维链接。我们还表明,这三个边界阻碍积极的无限多的几乎积极的图,使我们能够分类为几乎积极的无限多的结。
英文摘要:
We provide a new bound on the maximum degree of the Jones polynomial of a positive link with second Jones coefficient equal to $\pm 1$ or $\pm 2$. This builds upon the result of our previous work, in which we found such a bound for positive fibered links. We also show that each of these three bounds obstruct positivity for infinitely many almost-positive diagrams, allowing us to classify infinitely many knots as almost-positive.
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