The multi-variable Alexander polynomial of lens braids

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2 Citations (Scopus)


Let n ≥ 2 be an integer and Bn the n-braid group. A braid β ∈ Bn is said to be a (p, s)-lens braid if there exists α ∈ Bn such that β=αp1σ22 . . . σn-1)ns. In this paper we use the multi-variable Alexander polynomial to find a necessary condition for a braid to be a (p, s)-lens braid, for p prime. Our main tool here is the multi-variable Burau representation of the n-braid group.

Original languageEnglish
Pages (from-to)1323-1330
Number of pages8
JournalJournal of Knot Theory and its Ramifications
Issue number8
Publication statusPublished - Dec 2002
Externally publishedYes


  • Burau representation
  • Lens braids
  • Lens links
  • Multi-variable Alexander polynomial

ASJC Scopus subject areas

  • Algebra and Number Theory


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