Brunnian local moves of knots and Vassiliev invariants

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of C k-moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.

Original languageEnglish
Pages (from-to)289-297
Number of pages9
JournalFundamenta Mathematicae
Volume190
DOIs
Publication statusPublished - 2006 Jul 5
Externally publishedYes

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Vassiliev Invariants
Knot Invariants
Knot
Sufficient Conditions

Keywords

  • Band sum
  • Brunnian move
  • Vassiliev invariant

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Brunnian local moves of knots and Vassiliev invariants. / Yasuhara, Akira.

In: Fundamenta Mathematicae, Vol. 190, 05.07.2006, p. 289-297.

Research output: Contribution to journalArticle

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