Gaps in the Jones Polynomials

Nafaa Chbili

doi:10.1063/5.0114884

Gaps in the Jones Polynomials

Nafaa Chbili

Department of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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 language	English
Title of host publication	5th International Conference of Mathematical Sciences, ICMS 2021
Editors	Huseyin 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
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735442580
DOIs	https://doi.org/10.1063/5.0114884
Publication status	Published - Nov 7 2022
Event	5th International Conference of Mathematical Sciences, ICMS 2021 - Istanbul, Turkey Duration: Jun 23 2021 → Jun 27 2021

Publication series

Name	AIP Conference Proceedings
Volume	2483
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	5th International Conference of Mathematical Sciences, ICMS 2021
Country/Territory	Turkey
City	Istanbul
Period	6/23/21 → 6/27/21

Keywords

Jones polynomial
quasi-alternating links
three-braids

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/5.0114884

Cite this

Chbili, N. (2022). Gaps in the Jones Polynomials. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, O. Gurtug, E. Savas, N. D. Aral, F. C. Ucgan, O. Sahinaslan, C. Ashyralyyev, S. A. Sezer, A. D. Turkoglu, O. R. Onvural, & H. Sahin (Eds.), 5th International Conference of Mathematical Sciences, ICMS 2021 Article 020002 (AIP Conference Proceedings; Vol. 2483). American Institute of Physics Inc.. https://doi.org/10.1063/5.0114884

Gaps in the Jones Polynomials. / Chbili, Nafaa.
5th International Conference of Mathematical Sciences, ICMS 2021. ed. / Huseyin 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. American Institute of Physics Inc., 2022. 020002 (AIP Conference Proceedings; Vol. 2483).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chbili, N 2022, Gaps in the Jones Polynomials. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, O Gurtug, E Savas, ND Aral, FC Ucgan, O Sahinaslan, C Ashyralyyev, SA Sezer, AD Turkoglu, OR Onvural & H Sahin (eds), 5th International Conference of Mathematical Sciences, ICMS 2021., 020002, AIP Conference Proceedings, vol. 2483, American Institute of Physics Inc., 5th International Conference of Mathematical Sciences, ICMS 2021, Istanbul, Turkey, 6/23/21. https://doi.org/10.1063/5.0114884

Chbili N. Gaps in the Jones Polynomials. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Gurtug O, Savas E, Aral ND, Ucgan FC, Sahinaslan O, Ashyralyyev C, Sezer SA, Turkoglu AD, Onvural OR, Sahin H, editors, 5th International Conference of Mathematical Sciences, ICMS 2021. American Institute of Physics Inc. 2022. 020002. (AIP Conference Proceedings). doi: 10.1063/5.0114884

Chbili, Nafaa. / Gaps in the Jones Polynomials. 5th International Conference of Mathematical Sciences, ICMS 2021. editor / Huseyin 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. American Institute of Physics Inc., 2022. (AIP Conference Proceedings).

@inproceedings{cd8a6f448d33413b8b2149917171d801,

title = "Gaps in the Jones Polynomials",

abstract = "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.",

keywords = "Jones polynomial, quasi-alternating links, three-braids",

author = "Nafaa Chbili",

note = "Publisher Copyright: {\textcopyright} 2022 American Institute of Physics Inc.. All rights reserved.; 5th International Conference of Mathematical Sciences, ICMS 2021 ; Conference date: 23-06-2021 Through 27-06-2021",

year = "2022",

month = nov,

day = "7",

doi = "10.1063/5.0114884",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Allaberen Ashyralyev and Robin Harte and Mehmet Dik and Ibrahim Canak and Kandemir, {Hacer Sengul} and Mujgan Tez and Ozay Gurtug and Ekrem Savas and Aral, {Nazlim Deniz} and Ucgan, {Filiz Cagatay} and Onder Sahinaslan and Charyyar Ashyralyyev and Sezer, {Sefa Anil} and Turkoglu, {Arap Duran} and Onvural, {Oruc Raif} and Hakan Sahin",

booktitle = "5th International Conference of Mathematical Sciences, ICMS 2021",

}

TY - GEN

T1 - Gaps in the Jones Polynomials

AU - Chbili, Nafaa

PY - 2022/11/7

Y1 - 2022/11/7

N2 - 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.

AB - 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.

KW - Jones polynomial

KW - quasi-alternating links

KW - three-braids

UR - http://www.scopus.com/inward/record.url?scp=85142536747&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85142536747&partnerID=8YFLogxK

U2 - 10.1063/5.0114884

DO - 10.1063/5.0114884

M3 - Conference contribution

AN - SCOPUS:85142536747

T3 - AIP Conference Proceedings

BT - 5th International Conference of Mathematical Sciences, ICMS 2021

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Ashyralyev, Allaberen

A2 - Harte, Robin

A2 - Dik, Mehmet

A2 - Canak, Ibrahim

A2 - Kandemir, Hacer Sengul

A2 - Tez, Mujgan

A2 - Gurtug, Ozay

A2 - Savas, Ekrem

A2 - Aral, Nazlim Deniz

A2 - Ucgan, Filiz Cagatay

A2 - Sahinaslan, Onder

A2 - Ashyralyyev, Charyyar

A2 - Sezer, Sefa Anil

A2 - Turkoglu, Arap Duran

A2 - Onvural, Oruc Raif

A2 - Sahin, Hakan

PB - American Institute of Physics Inc.

T2 - 5th International Conference of Mathematical Sciences, ICMS 2021

Y2 - 23 June 2021 through 27 June 2021

ER -

Gaps in the Jones Polynomials

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this