Link invariants derived from multiplexing of crossings

Haruko Aida Miyazawa, Kodai Wada, Akira Yasuhara

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We introduce the multiplexing of a crossing, replacing a classical crossing of a virtual link diagram with a mixture of classical and virtual crossings. For integers mi(i = 1,…, n) and an ordered n–component virtual link diagram D, a new virtual link diagram D(m1,…, mn) is obtained from D by the multiplexing of all crossings. For welded isotopic virtual link diagrams D and D, the virtual link diagrams D(m1,…, mn) and D(m1,…, mn) are welded isotopic. From the point of view of classical link theory, it seems very interesting that new classical link invariants are obtained from welded link invariants via the multiplexing of crossings.

本文言語English
ページ(範囲)2497-2507
ページ数11
ジャーナルAlgebraic and Geometric Topology
18
4
DOI
出版ステータスPublished - 2018 4月 26
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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