Classification of string links up to self delta-moves and concordance

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5 Citations (Scopus)

Abstract

For an n-component string link, the Milnor's concordance invariant is defined for each sequence I = i1i2...im(ij,in {1,...,n}) Let r(I) denote the maximum number of times that any index appears. We show that two string links are equivalent up to self Δ-moves and concordance if and only if their Milnor invariants coincide for all sequences I with r(I) ≤ 2.

Original languageEnglish
Pages (from-to)265-275
Number of pages11
JournalAlgebraic and Geometric Topology
Volume9
Issue number1
DOIs
Publication statusPublished - 2009 Dec 1
Externally publishedYes

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Keywords

  • Δ-move
  • Concordance
  • Link-homotopy
  • Milnor invariant
  • Self Δ-equivalence
  • Self Δ-move
  • String link

ASJC Scopus subject areas

  • Geometry and Topology

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