On Cn-moves for links

Jean Baptiste Meilhan*, Akira Yasuhara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


A Cn-move is a local move on links defined by Habiro and Goussarov, which can be regarded as a 'higher order crossing change'. We use Milnor invariants with repeating indices to provide several classification results for links up to Cn-moves, under certain restrictions. Namely, we give a classification up to C4-moves of 2-component links, 3-component Brunnian links and n-component C3-trivial links. We also classify n-component link-homotopically trivial Brunnian links up to Cn+1-moves.

Original languageEnglish
Pages (from-to)119-143
Number of pages25
JournalPacific Journal of Mathematics
Issue number1
Publication statusPublished - 2008 Nov
Externally publishedYes


  • Brunnian links
  • C-moves
  • Claspers
  • Milnor invariants
  • String links

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'On Cn-moves for links'. Together they form a unique fingerprint.

Cite this