论文标题
亚历山大模块减少的外围元素
Peripheral elements in reduced Alexander modules
论文作者
论文摘要
我们讨论了经典和虚拟链接的亚历山大模块减少的子午线和纵向。当适当地定义这些元素时，每个链接组件都会有许多子午线，但只有一个经度。通过列出这些外围元素来增强亚历山大模块的减少，提供了更强大的链接不变性。特别是，增强的模块确定链接中的所有链接数字。相反，单独的模块甚至无法检测到多少个链接数为$ 0 $。
We discuss meridians and longitudes in reduced Alexander modules of classical and virtual links. When these elements are suitably defined, each link component will have many meridians, but only one longitude. Enhancing the reduced Alexander module by singling out these peripheral elements provides a significantly stronger link invariant. In particular, the enhanced module determines all linking numbers in a link; in contrast, the module alone does not even detect how many linking numbers are $0$.
