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On Conway algebras and the Homflypt polynomial

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Abstract

In 1984 J. H. Przytycki and P. Traczyk introduced the notion of Conway algebras. They had proved that for every Conway algebra there exists an invariant of links in ℝ3, which takes values in that algebra. In this paper we show that any link invariant obtained in this way is not better than the Homflypt (Jones-Conway) polynomial.

Original languageEnglish
Pages (from-to)879-893
Number of pages15
JournalJournal of Knot Theory and its Ramifications
Volume6
Issue number6
DOIs
StatePublished - Dec 1997

Keywords

  • Conway algebra
  • Homflypt polynomial
  • Invariants of knots

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