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

研究成果: Article

3 引用 (Scopus)

抜粋

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.

元の言語English
記事番号1350042
ジャーナルJournal of Knot Theory and its Ramifications
22
発行部数8
DOI
出版物ステータスPublished - 2013 7 1
外部発表Yes

ASJC Scopus subject areas

  • Algebra and Number Theory

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