L-Moves and Markov theorems

Lambropoulou, S

dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T02:44:48Z
dc.date.available	2014-03-01T02:44:48Z
dc.date.issued	2007	en
dc.identifier.issn	0218-2165	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31950
dc.subject	Commuting	en
dc.subject	Conjugation	en
dc.subject	L-moves	en
dc.subject	Links in 3-manifolds	en
dc.subject	Markov theorem	en
dc.subject	Mixed braids	en
dc.subject	Singulars	en
dc.subject	Stabilization	en
dc.subject	Virtuais	en
dc.subject	Welded braids	en
dc.subject.classification	Mathematics	en
dc.subject.other	KNOT-THEORY	en
dc.subject.other	VIRTUAL BRAIDS	en
dc.subject.other	3-MANIFOLDS	en
dc.subject.other	EQUIVALENCE	en
dc.title	L-Moves and Markov theorems	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1142/S0218216507005919	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218216507005919	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	Given a knot theory (virtual, singular, knots in a 3-manifold etc.), there are deep relations between the diagrammatic knot equivalence in this theory, the braid structures and a corresponding braid equivalence. The L-moves between braids, due to their fundamental nature, may be adapted to any diagrammatic situation in order to formulate a corresponding braid equivalence. In this short paper, we discuss and compare various diagrammatic set-ups and results therein, in order to draw the underlying logic relating diagrammatic isotopy, braid structures, Markov theorems and L-move analogues. Finally, we apply our conclusions to singular braids. © 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/S0218216507005919	en
dc.identifier.isi	ISI:000252521900013	en
dc.identifier.volume	16	en
dc.identifier.issue	10	en
dc.identifier.spage	1459	en
dc.identifier.epage	1468	en