双片蒙特西诺斯链接
Doubly slice Montesinos links
摘要：
本文比较了链接的双重安全性的概念。主要结果是表明，一个大家庭的2分量Montesinos链是不是强双切片，尽管是弱双切片，并有双切片组件。我们对强双切片的主要障碍来自于考虑分支双覆盖。为此，我们证明了一个结果，即通过映射诱导第一个同调群上的满射，将允许光滑嵌入的Seifert纤维空间分类为整数同调$S^1 \times S^3$。一些其他的结果和例子有关的双片链路也给出了。
英文摘要：
This paper compares notions of double sliceness for links. The main result is to show that a large family of 2-component Montesinos links are not strongly doubly slice despite being weakly doubly slice and having doubly slice components. Our principal obstruction to strong double slicing comes by considering branched double covers. To this end we prove a result classifying Seifert fibered spaces which admit a smooth embeddings into integer homology $S^1 \times S^3$s by maps inducing surjections on the first homology group. A number of other results and examples pertaining to doubly slice links are also given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
