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.
Название публикации (dc.title) | An invariant of regular isotopy for disoriented links |
Автор/ы (dc.contributor.yazarlar) | İsmet Altıntaş, Hatice Parlatıcı |
Вид публикации (dc.type) | Makale |
Язык (dc.language) | İngilizce |
Год публикации (dc.date.issued) | 2023 |
Национальный/Международный (dc.identifier.ulusaluluslararasi) | Uluslararası |
Источник (dc.relation.journal) | Turkish Journal of Mathematics |
Номер (dc.identifier.issue) | 1 |
Том/№ (dc.identifier.volume) | 47 |
Страница (dc.identifier.startpage) | 56-74 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 1300-0098; Online ISSN: 1303-6149 |
Издатель (dc.publisher) | Tübitak |
Базы данных (dc.contributor.veritaban) | Web of Science Core Collection |
Базы данных (dc.contributor.veritaban) | Tübitak (Academik Journals) |
Базы данных (dc.contributor.veritaban) | Scopus |
Вид индекса (dc.identifier.index) | SCI Expanded |
Вид индекса (dc.identifier.index) | Scopus |
Импакт-фактор (dc.identifier.etkifaktoru) | 1 / 2022-WOS / Son 5 yıl: 0,9 |
Резюме (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 |
Факультет / Институт (dc.identifier.fakulte) | Fen Fakültesi |
Кафедра (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Автор(ы) в учреждении (dc.contributor.author) | İsmet ALTINTAŞ |
№ регистрации (dc.identifier.kayitno) | BL4730B5B6 |
Дата регистрации (dc.date.available) | 2023-02-28 |
Заметка (Год публикации) (dc.identifier.notyayinyili) | 2023 |
Wos No (dc.identifier.wos) | WOS:000923127700004 |
Тематический рубрикатор (dc.subject) | disoriented link |
Тематический рубрикатор (dc.subject) | disoriented crossing |
Тематический рубрикатор (dc.subject) | disoriented regular isotopy |
Тематический рубрикатор (dc.subject) | complete writhe |
Тематический рубрикатор (dc.subject) | disoriented link polynomial |