Milnor's invariants and self Ck-equivalence

Thomas Fleming*, Akira Yasuhara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor's invariants with repeated indices are invariants not only of isotopy, but also of self Ck - equivalence. Here self Ck-equivalence is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.

Original languageEnglish
Pages (from-to)761-770
Number of pages10
JournalProceedings of the American Mathematical Society
Issue number2
Publication statusPublished - 2009 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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