The Kanenobu-Miyazawa conjecture and the Vassiliev-Gusarov skein modules based on mixed crossings

Jözef H. Przytycki, Kouki Taniyama

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Abstract

We show that a Brunnian link of n components and the n component trivial link share the same first n -1 coefficients of the Jones-Conway (Homflypt) polynomial (answering the question of Kanenobu and Miyazawa). We prove also the similar result for the Kauffman polynomial of Brunnian links. We place our solution in the context of Vassiliev-Gusarov skein modules based on mixed singular crossings.

Original languageEnglish
Pages (from-to)2799-2802
Number of pages4
JournalProceedings of the American Mathematical Society
Volume129
Issue number9
Publication statusPublished - 2001 Dec 1

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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