The half-twisted splice operation on reduced knot projections

Noboru Ito*, Ayaka Shimizu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

Original languageEnglish
Article number1250112
JournalJournal of Knot Theory and its Ramifications
Issue number11
Publication statusPublished - 2012 Oct


  • Half-twisted splice
  • knot projection
  • local move
  • reduced knot projection

ASJC Scopus subject areas

  • Algebra and Number Theory


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