Extended periodic links and HOMFLYPT polynomial

Nafaa Chbili, Hajer Jebali

Research output: Contribution to journalArticlepeer-review


Extended strongly periodic links have been introduced by Przytycki and Sokolov as a symmetric surgery presentation of three-manifolds on which the finite cyclic group acts without fixed points. The purpose of this paper is to prove that the symmetry of these links is reflected by the first coefficients of the HOMFLYPT polynomial.

Original languageEnglish
Article number1940006
JournalJournal of Knot Theory and its Ramifications
Issue number11
Publication statusPublished - Oct 1 2019


  • HOMFLYPT polynomial
  • Periodic links
  • three-manifolds

ASJC Scopus subject areas

  • Algebra and Number Theory


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