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Polynomials of complete spatial graphs and Jones polynomials of the related links Научная публикация

Журнал

Sbornik Mathematics
ISSN: 1064-5616 , E-ISSN: 1468-4802

Вых. Данные

Год: 2025, Том: 216, Номер: 5, Страницы: 608-637 Страниц : 30 DOI: 10.4213/sm10167e

Ключевые слова

graph, knot, spatial graph, Jones polynomial, Yamada polynomial, Jaeger polynomial.

Авторы

Vesnin Andrei Yurievich ^1,2,3 , Oshmarina Olga Andreevna ^1,3

Организации

1	Novosibirsk State University, Novosibirsk, Russia
2	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
3	Tomsk State University, Tomsk, Russia

Информация о финансировании (1)

Министерство науки и высшего образования РФ

075-02-2024-1437

A spatial Kn-graph is an embedding of a complete graph Kn with n vertices in a 3-sphere S3. Knots in a spatial Kn-graph corresponding to cycles of Kn are called constituent knots. We consider the case n = 4. The boundary of the orientable band surface constructed from a spatial K4-graph and having the zero Seifert form is a 4-component link, which is referred to as the associated link. We obtain formulae relating the normalized Yamada and Jaeger polynomials of spatial K4-graphs, their θ-subgraphs and cyclic subgraphs with the Jones polynomials of constituent knots and related links.

Vesnin A.Y. , Oshmarina O.A.
Polynomials of complete spatial graphs and Jones polynomials of the related links
Sbornik Mathematics. 2025. V.216. N5. P.608-637. DOI: 10.4213/sm10167e Scopus OpenAlex

Веснин А.Ю. , Ошмарина О.А.
Полиномы пространственных полных графов и полиномы Джонса связанных с ними зацеплений
Математический сборник. 2025. Т.216. №5. С.33-63. DOI: 10.4213/sm10167 РИНЦ OpenAlex

Поступила в редакцию:

31 июл. 2024 г.

Scopus:	2-s2.0-105012516684
OpenAlex:	W4413075742

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