Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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
Publication statusPublished - 2006
Externally publishedYes


  • Band sum
  • Brunnian move
  • Vassiliev invariant

ASJC Scopus subject areas

  • Algebra and Number Theory


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