Self Ck-move, quasi self Ck-move and the conway potential function for links

Tetsuo Shibuya*, Akira Yasuhara

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Nakanishi and Shibuya gave a relation between link homotopy and quasi self delta-equivalence. And they also gave a necessary condition for two links to be self delta-equivalent by using the multivariable Alexander polynomial. Link homotopy and quasi self delta-equivalence are also called self C 1-equivalence and quasi self C2-equivalence respectively. In this paper, we generalize their results. In Sec. 1, we give a relation between self Ck-equivalence and quasi self Ck+1- equivalence. In Secs. 2 and 3, we give necessary conditions for two links to be self Ck-equivalent by using the multivariable Conway potential function and the Conway polynomial respectively.

本文言語English
ページ(範囲)877-893
ページ数17
ジャーナルJournal of Knot Theory and its Ramifications
13
7
DOI
出版ステータスPublished - 2004 11 1
外部発表はい

ASJC Scopus subject areas

  • 代数と数論

フィンガープリント

「Self C<sub>k</sub>-move, quasi self C<sub>k</sub>-move and the conway potential function for links」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル