摘要
We obtain an equation among invariants obtained from the Alexander module of an amphicheiral link. For special cases,it deduces necessary conditions on the Alexander polynomial. By using the present results and some known results,we show that the Alexander polynomial of an algebraically split componentpreservingly(±)-amphicheiral link with even components is zero,and we determine prime amphicheiral links with at least 2 components and up to 9 crossings.
We obtain an equation among invariants obtained from the Alexander module of an amphicheiral link. For special cases, it deduces necessary conditions on the Alexander polynomial. By using the present results and some known results, we show that the Alexander polynomial of an algebraically split component- preservingly （±）-amphicheiral link with even components is zero, and we determine prime amphieheiral links with at least 2 components and up to 9 crossings.
基金
supported by National Natural Science Foundation of China (Grant No. 10801021/a010402)
关键词
亚历山大多项式
不变量
链接
组成部分
l环
组件
等式
amphicheiral link, quadratic form, signature invariants, Alexander polynomial
