Virtual braids and the L-move

Kauffman, LH; Lambropoulou, S

dc.contributor.author	Kauffman, LH	en
dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T02:44:22Z
dc.date.available	2014-03-01T02:44:22Z
dc.date.issued	2006	en
dc.identifier.issn	0218-2165	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31775
dc.subject	Classical knot	en
dc.subject	Conjugation	en
dc.subject	Detour moves	en
dc.subject	Exchange moves	en
dc.subject	Flat virtual knot	en
dc.subject	Forbidden moves	en
dc.subject	L-moves	en
dc.subject	Reidemeister moves	en
dc.subject	Stabilization moves	en
dc.subject	Virtual knot	en
dc.subject	Virtual L-moves	en
dc.subject	Welded knot	en
dc.subject.classification	Mathematics	en
dc.subject.other	FORBIDDEN MOVES	en
dc.subject.other	KNOT-THEORY	en
dc.subject.other	EQUIVALENCE	en
dc.subject.other	LINKS	en
dc.subject.other	3-MANIFOLDS	en
dc.subject.other	DIAGRAMS	en
dc.title	Virtual braids and the L-move	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1142/S0218216506004750	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218216506004750	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper we prove a Markov theorem for virtual braids and for analogs of this structure including flat virtual braids and welded braids. The virtual braid group is the natural companion to the category of virtual knots, just as the Artin braid group is the natural companion to classical knots and links. In this paper we follow L-move methods to prove the Virtual Markov theorems. One benefit of this approach is a fully local algebraic formulation of the theorems in each category. © World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	Journal of Knot Theory and its Ramifications	en
dc.identifier.doi	10.1142/S0218216506004750	en
dc.identifier.isi	ISI:000240667100009	en
dc.identifier.volume	15	en
dc.identifier.issue	6	en
dc.identifier.spage	773	en
dc.identifier.epage	811	en