In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.
Publication Name (dc.title) | An invariant of regular isotopy for disoriented links |
Author/s (dc.contributor.yazarlar) | İsmet Altıntaş, Hatice Parlatıcı |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2023 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Turkish Journal of Mathematics |
Number (dc.identifier.issue) | 1 |
Volume/Issue (dc.identifier.volume) | 47 |
Page (dc.identifier.startpage) | 56-74 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 1300-0098; Online ISSN: 1303-6149 |
Publisher (dc.publisher) | Tübitak |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Tübitak (Academik Journals) |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 1 / 2022-WOS / Son 5 yıl: 0,9 |
Abstract (dc.description.abstract) | In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links. |
URL (dc.rights) | https://journals.tubitak.gov.tr/math/vol47/iss1/4/ |
DOI (dc.identifier.doi) | 10.55730/1300-0098.3345 |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Author(s) in the Institution (dc.contributor.author) | İsmet ALTINTAŞ |
Kayıt No (dc.identifier.kayitno) | BL4730B5B6 |
Record Add Date (dc.date.available) | 2023-02-28 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2023 |
Wos No (dc.identifier.wos) | WOS:000923127700004 |
Subject Headings (dc.subject) | disoriented link |
Subject Headings (dc.subject) | disoriented crossing |
Subject Headings (dc.subject) | disoriented regular isotopy |
Subject Headings (dc.subject) | complete writhe |
Subject Headings (dc.subject) | disoriented link polynomial |