An unknotting invariant for welded knots

dc.contributor.author	Gill, A.
dc.contributor.author	Kaur, K.
dc.contributor.author	Prabhakar, M.
dc.contributor.author	Vesnin, A.
dc.date.accessioned	2022-08-21T12:23:11Z
dc.date.available	2022-08-21T12:23:11Z
dc.date.issued	2022-08-21
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3854
dc.description.abstract	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.	en_US
dc.language.iso	en_US	en_US
dc.subject	Gordian distance	en_US
dc.subject	Quandle coloring	en_US
dc.subject	Unknotting twist number	en_US
dc.subject	Welded knot	en_US
dc.title	An unknotting invariant for welded knots	en_US
dc.type	Article	en_US