论文标题

切片链接不变性,组合不变和阳性条件

Slice-torus link invariants, combinatorial invariants, and positivity conditions

论文作者

Collari, Carlo

论文摘要

我们证明了链接与准阳性链接一致的链接,准阳性,阳性或闭合阳性辫子的一致性。我们结果的主要应用程序是对积极链接的表征,其链接数量为$ 1 $和2美元,以及一个组合标准,用于测试正面链接是否是关闭正编织的链接。最后,我们编译了所有正面和正面的质量链接的表,交叉点不到$ 8 $。

We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quasi-positive, positive, or the closure of a positive braid. The main applications of our results are a characterisation of positive links with unlinking number $1$ and $2$, and a combinatorial criterion to test if a positive link is the closure of a positive braid. Finally, we compile a table of all positive and positive-braid prime links with less than $8$ crossings.

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