On non-self local moves

Yasutaka Nakanishi, Tetsuo Shibuya, Tatsuya Tsukamoto, Akira Yasuhara

Research output: Contribution to journalArticle

Abstract

Gusarov and Habiro introduced a C m move, that is strongly related to Vassiliev invariants. In this note, we study a special kind of C m move, called a non-self C m move. We show that two links can be transformed into each other by a finite sequence of non-self C m moves if and only if (1) the two links can be transformed into each other by a finite sequence of C m moves, and (2) the knot types of corresponding components coincide.

Original languageEnglish
Article number1250055
JournalJournal of Knot Theory and its Ramifications
Volume21
Issue number4
DOIs
Publication statusPublished - 2012 Apr 1
Externally publishedYes

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Keywords

  • knot type
  • linking number
  • Local move

ASJC Scopus subject areas

  • Algebra and Number Theory

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