Sharp-unknotting number and the Alexander module

Hitoshi Murakami; Sakuko Sakai

doi:10.1016/0166-8641(93)90035-C

Sharp-unknotting number and the Alexander module

Hitoshi Murakami, Sakuko Sakai

情報学研究科・情報基礎科学専攻

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

Suppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will show that the difference of their Nakanishi indices is less than or equal to three and that the difference of the minimum numbers of generators of the first homology groups of their double branched covers is less than or equal to two. We also give infinitely many examples of composite knots with ν-unknotting number one.

本文言語	English
ページ（範囲）	169-179
ページ数	11
ジャーナル	Topology and its Applications
巻	52
号	2
DOI	https://doi.org/10.1016/0166-8641(93)90035-C
出版ステータス	Published - 1993 10 11

ASJC Scopus subject areas

Geometry and Topology

文献へのアクセス

10.1016/0166-8641(93)90035-C

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引用スタイル

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