Gaps in the Jones Polynomials

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The Jones polynomial of an alternating link is known to have no gap of length greater than 1. This result extends to quasi-alternating links as well. Our purpose is to study the structure, in particular the number of gaps, of the Jones polynomial of an arbitrary link with the ultimate aim of characterizing Laurent polynomials which arise as the Jones polynomial of a link.

Original languageEnglish
Title of host publication5th International Conference of Mathematical Sciences, ICMS 2021
EditorsHuseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Ozay Gurtug, Ekrem Savas, Nazlim Deniz Aral, Filiz Cagatay Ucgan, Onder Sahinaslan, Charyyar Ashyralyyev, Sefa Anil Sezer, Arap Duran Turkoglu, Oruc Raif Onvural, Hakan Sahin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735442580
Publication statusPublished - Nov 7 2022
Event5th International Conference of Mathematical Sciences, ICMS 2021 - Istanbul, Turkey
Duration: Jun 23 2021Jun 27 2021

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Conference5th International Conference of Mathematical Sciences, ICMS 2021


  • Jones polynomial
  • quasi-alternating links
  • three-braids

ASJC Scopus subject areas

  • General Physics and Astronomy


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