Polynomial invariants of a link with local symmetry

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Abstract

Let D be a link diagram and T a 4-tangle. By replacing each crossing of D by T, we get a new diagram D⊗. T, called a link diagram with local symmetry or tensor product of D and T. In this paper, we will study polynomial invariants of the link diagram D⊗. T with local symmetry in terms of D and T, and as an application, we will study the adequacy of D⊗. T.

Original languageEnglish
Pages (from-to)350-357
Number of pages8
JournalTopology and its Applications
Volume201
DOIs
StatePublished - 15 Mar 2016

Keywords

  • Adequate knot
  • Kauffman bracket polynomial
  • Local symmetry

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