论文标题
闭合T均匀辫子是真正的代数
Closures of T-homogeneous braids are real algebraic
论文作者
论文摘要
$ s^3 $中的链接称为真正的代数，如果它是从$ \ mathbb {r}^4 $到$ \ mathbb {r}^2 $的多项式映射的孤立奇点的链接。众所周知，每个真实的代数链接都是光纤的，并且猜想相反也是正确的。我们证明了这一猜想的大型纤维链路系列，其中包括封闭的t-homeSeens（又是同质）辫子和辫子，可以将其写入双GARSIDE元素的产物以及Birman-Ko-Ko-Lee呈现中的阳性单词。该证明提供了相应的真实多项式图的结构，可以将其写为半塑形函数。我们获得有关其多项式程度的信息。
A link in $S^3$ is called real algebraic if it is the link of an isolated singularity of a polynomial map from $\mathbb{R}^4$ to $\mathbb{R}^2$. It is known that every real algebraic link is fibered and it is conjectured that the converse is also true. We prove this conjecture for a large family of fibered links, which includes closures of T-homogeneous (and therefore also homogeneous) braids and braids that can be written as a product of the dual Garside element and a positive word in the Birman-Ko-Lee presentation. The proof offers a construction of the corresponding real polynomial maps, which can be written as semiholomorphic functions. We obtain information about their polynomial degrees.
