2- and 3-variations and finite type invariants of degree 2 and 3

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Goussarov, Polyak and Viro defined a finite type invariant and a local move called an n-variation for virtual knots. In this paper, we give the differences of the values of the finite type invariants of degree 2 and 3 between two virtual knots which can be transformed into each other by a 2- and 3-variation, respectively. As a result, we obtain lower bounds of the distance between long virtual knots by 2-variations and the distance between virtual knots by 3-variations by using the values of the finite type invariants of degree 2 and 3, respectively.

本文言語English
論文番号1350042
ジャーナルJournal of Knot Theory and its Ramifications
22
8
DOI
出版ステータスPublished - 2013 7 1
外部発表はい

ASJC Scopus subject areas

  • Algebra and Number Theory

フィンガープリント 「2- and 3-variations and finite type invariants of degree 2 and 3」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