CHARACTERIZATION OF THE REDUCED PERIPHERAL SYSTEM OF LINKS
CHARACTERIZATION OF THE REDUCED PERIPHERAL SYSTEM OF LINKS
复制标题
简化外围链路系统的特征
DOI：
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发表时间：
2019
影响因子：
0.9
通讯作者：
Jean
中科院分区：
文献类型：
--
作者：
Benjamin Audoux;Jean
约化的外围系统是由Milnor [18]在20世纪50年代引入的，用于研究直到链同伦的链，也就是说，直到同伦留下不同的不相交的分量;然而，这个不变量无法对四个或更多分量的链进行分类。本文的目的是证明Milnor的约化外围系统所检测到的拓扑信息实际上是4维的。主要结果给出了一个完整的表征链接具有相同的减少外围系统，在带状固体环面在4空间带状链接同伦。的证明依赖于一个中间的焊接图的自虚拟化方面给出的表征，从而提供了一个纯粹的拓扑应用的组合理论的焊接链接。
The reduced peripheral system was introduced by Milnor [18] in the 1950s for the study of links up to link-homotopy, that is, up to homotopies leaving distinct components disjoint; this invariant, however, fails to classify links up to link-homotopy for links of four or more components. The purpose of this paper is to show that the topological information which is detected by Milnor’s reduced peripheral system is actually 4-dimensional. The main result gives indeed a complete characterization of links having the same reduced peripheral system, in terms of ribbon solid tori in 4–space up to ribbon link-homotopy. The proof relies on an intermediate characterization given in terms of welded diagrams up to self-virtualization, hence providing a purely topological application of the combinatorial theory of welded links.
Milnor 不变量和扭曲的惠特尼塔
影响因子：
1.1
作者：
J. Conant;R. Schneiderman;P. Teichner
通讯作者：
P. Teichner