Clasp-pass moves on knots, links and spatial graphs

Kouki Taniyama*, Akira Yasuhara

*この研究の対応する著者

研究成果: Article査読

20 被引用数 (Scopus)

抄録

A clasp-pass move is a local move on oriented links introduced by Habiro in 1993. He showed that two knots are transformed into each other by clasp-pass moves if and only if they have the same second coefficient of the Conway polynomial. We extend his classification to two-component links, three-component links, algebraically split links, and spatial embeddings of a planar graph that does not contain disjoint cycles. These are classified in terms of linking numbers, the second coefficient of the Conway polynomial, the Arf invariant, and the Milnor μ-invariant.

本文言語English
ページ(範囲)501-529
ページ数29
ジャーナルTopology and its Applications
122
3
DOI
出版ステータスPublished - 2002 8 16
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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