An unknotting invariant for welded knots

An unknotting invariant for welded knots Full article

Journal

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

Output data

Year: 2021, Volume: 131, Article number : 47, Pages count : 17 DOI: 10.1007/s12044-021-00640-9

Tags

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

Authors

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

Affiliations

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

DB	Citing
Scopus	1
OpenAlex	1
Web of science	1