An affine index polynomial invariant and the forbidden move of virtual knots

研究成果: Article査読

5 被引用数 (Scopus)

抄録

Kauffman defines an affine index polynomial invariant for virtual knots. The invariant is induced from a numerical invariant called an n-writhe. In this paper, we provide the difference of the values obtained from invariants between two virtual knots which can be transformed into each other by a single forbidden move. As a result, we make it possible for many virtual knots to determine the unknotting numbers by forbidden moves.

本文言語English
論文番号1650040
ジャーナルJournal of Knot Theory and its Ramifications
25
7
DOI
出版ステータスPublished - 2016 6 1
外部発表はい

ASJC Scopus subject areas

  • Algebra and Number Theory

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