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An unknotting invariant for welded knots Научная публикация

Журнал

Proceedings of the Indian Academy of Sciences: Mathematical Sciences
ISSN: 0253-4142

Вых. Данные

Год: 2021, Том: 131, Номер статьи : 47, Страниц : 17 DOI: 10.1007/s12044-021-00640-9

Ключевые слова

Gordian distance; quandle coloring; unknotting twist number; Welded knot

Авторы

Gill A ¹ , Kaur K ¹ , Prabhakar M ¹ , Vesnin A ²

Организации

1	Department of Mathematics, Indian Institute of Technology Ropar, Nangal Road, Rupnagar, 140 001, India
2	Tomsk State University, Tomsk, 634050, Russian Federation

We study a local twist move on welded knots that is an analog of the virtualization move on virtual knots. Since this move is an unknotting operation we define an invariant, unknotting twist number, for welded knots. We relate the unknotting twist number with warping degree and welded unknotting number, and establish a lower bound on the twist number using Alexander quandle coloring. We also study the Gordian distance between welded knots by twist move and define the corresponding Gordian complex.

Gill A. , Kaur K. , Prabhakar M. , Vesnin A.
An unknotting invariant for welded knots
Proceedings of the Indian Academy of Sciences: Mathematical Sciences. 2021. V.131. 47 :1-17. DOI: 10.1007/s12044-021-00640-9 WOS Scopus OpenAlex

Web of science:	WOS:000722614100002
Scopus:	2-s2.0-85120709610
OpenAlex:	W3214979085

БД	Цитирований
Scopus	1
OpenAlex	1
Web of science	1