Milnor's invariants and self Ck-equivalence

Thomas Fleming, Akira Yasuhara

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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
Volume137
Issue number2
DOIs
Publication statusPublished - 2009 Feb 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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