Amphicheirality of links and Alexander invariants

被引：2
|
作者：
Kadokami Teruhisa [1 ]
Kawauchi Akio [2 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] Osaka City Univ, Dept Math, Osaka 5588585, Japan
来源：
SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 10期
基金：
中国国家自然科学基金;
关键词：
amphicheiral link; quadratic form; signature invariants; Alexander polynomial; KNOTS; POLYNOMIALS; ACHIRALITY; SYMMETRIES;
D O I：
10.1007/s11425-011-4217-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 component-preservingly (+/-)-amphicheiral link with even components is zero, and we determine prime amphicheiral links with at least 2 components and up to 9 crossings.
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页码：2213 / 2227
页数：15
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