Delta link homotopy for two component links, III

Yasutaka NAKANISHI; Yoshiyuki OHYAMA

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Delta link homotopy for two component links, III

机译：两个组件链接的Delta链接同态III

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摘要

In this note, we will study Delta link homotopy, which is an equivalence relation of ordered and oriented link types. Previously, a necessary condition was given by a pair of numerical invariants derived from the Conway polynomials for two link types to be Delta link homotopic. In this note, we will show that, for two component links, if their pairs of numerical invariants coincide then the two links are Delta link homotopic.

机译：在本说明中，我们将研究Delta链接同态，这是有序和定向链接类型的等价关系。以前，由康威（Conway）多项式得出的一对数值不变量给出了必要条件，这两个链接类型将成为Delta链接同位。在此注释中，我们将显示，对于两个组件链接，如果它们的数值不变量对重合，则两个链接为Delta链接同位。

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来源
《Journal of the Mathematical Society of Japan》 |2003年第3期|p.641-654|共14页
作者
Yasutaka NAKANISHI; Yoshiyuki OHYAMA;
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作者单位

Department of Mathematics Kobe University Rokko, Nada-ku Kobe 657-8501 Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
delta link homotopy; conway polynomial; vassiliev invariant;

机译：δ链接同态;conway多项式;vassiliev不变;

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Delta link homotopy for two component links, III

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