Singular braids, singular links and subgroups of camomile type | Sciact - Система учета научной деятельности ИМ СО РАН

Singular braids, singular links and subgroups of camomile type Научная публикация

Журнал

Topology and its Applications
ISSN: 0166-8641

Вых. Данные

Год: 2025, Том: 362, Страницы: 109206 Страниц : 19 DOI: 10.1016/j.topol.2025.109206

Ключевые слова

Braid group, Center, Link invariant, Monoid of singular braids, Quandle, Singquandle, Singular link, Singular pure braid group

Авторы

Bardakov Valeriy G. ^1,2,3 , Kozlovskaya Tatyana A. ^1,2,3

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State Agrarian University
3	Regional Scientific and Educational Mathematical Center of Tomsk State University

Информация о финансировании (1)

Министерство науки и высшего образования РФ

075-02-2024-1437

In this paper we find a finite set of generators and defining relations for the singular pure braid group SPn, n≥3, that is a subgroup of the singular braid group SBn. Using this presentation, we prove that the center of SBn (which is equal to the center of SPn for n≥3) is a direct factor in SPn but it is not a direct factor in SBn. We introduce subgroups of camomile type and prove that the singular pure braid group SPn, n≥5, is a subgroup of camomile type in SBn. Also we construct the fundamental singquandle using a representation of the singular braid monoid by endomorphisms of free quandle. For any singular link we define some family of groups which are invariants of this link.

Bardakov V.G. , Kozlovskaya T.A.
Singular braids, singular links and subgroups of camomile type
Topology and its Applications. 2025. V.362. P.109206. DOI: 10.1016/j.topol.2025.109206 WOS Scopus OpenAlex

Поступила в редакцию:	15 янв. 2023 г.
Принята к публикации:	4 янв. 2025 г.
Опубликована online:	9 янв. 2025 г.
Опубликована в печати:	1 мар. 2025 г.

Web of science:	WOS:001402981700001
Scopus:	2-s2.0-85215065660
OpenAlex:	W4406214011

Пока нет цитирований