Virtual braids

Kauffman, LH; Lambropoulou, S

dc.contributor.author	Kauffman, LH	en
dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T01:21:41Z
dc.date.available	2014-03-01T01:21:41Z
dc.date.issued	2004	en
dc.identifier.issn	0016-2736	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16317
dc.subject	Braid Group	en
dc.subject	Virtual Knot	en
dc.subject.classification	Mathematics	en
dc.subject.other	FORBIDDEN MOVES	en
dc.subject.other	FINITE-TYPE	en
dc.subject.other	KNOT-THEORY	en
dc.subject.other	INVARIANTS	en
dc.title	Virtual braids	en
heal.type	journalArticle	en
heal.identifier.primary	10.4064/fm184-0-11	en
heal.identifier.secondary	http://dx.doi.org/10.4064/fm184-0-11	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	This paper gives a new method for converting virtual knots and links to virtual braids. Indeed, the braiding method given here is quite general and applies to all the categories in which braiding can be accomplished. This includes the braiding of classical, virtual, flat, welded, unrestricted, and singular knots and links. We also give reduced presentations for the virtual braid group and for the flat virtual braid group (as well as for other categories). These reduced presentations are based on the fact that these virtual braid groups for n strands are generated by a single braiding element plus the generators of the symmetric group on n letters.	en
heal.publisher	POLISH ACAD SCIENCES INST MATHEMATICS	en
heal.journalName	Fundamenta Mathematicae	en
dc.identifier.doi	10.4064/fm184-0-11	en
dc.identifier.isi	ISI:000229360400012	en
dc.identifier.volume	184	en
dc.identifier.issue	1-3	en
dc.identifier.spage	159	en
dc.identifier.epage	186	en