Concordance of certain 3-braids and Gauss diagrams

Research output: Contribution to journalArticlepeer-review


Let β:=σ1σ2−1 be a braid in B3, where B3 is the braid group on 3 strings and σ1, σ2 are the standard Artin generators. We use Gauss diagram formulas to show that for each natural number n not divisible by 3 the knot which is represented by the closure of the braid βn is algebraically slice if and only if n is odd. As a consequence, we deduce some properties of Lucas numbers.

Original languageEnglish
Pages (from-to)180-185
Number of pages6
JournalTopology and its Applications
StatePublished - 1 Dec 2016


  • Braids
  • Concordance
  • Gauss diagrams
  • Knots

ASJC Scopus subject areas

  • Geometry and Topology


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