Knot theory in handlebodies

Haring-Oldenburg, R; Lambropoulou, S

dc.contributor.author	Haring-Oldenburg, R	en
dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T01:52:06Z
dc.date.available	2014-03-01T01:52:06Z
dc.date.issued	2002	en
dc.identifier.issn	0218-2165	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26565
dc.subject.classification	Mathematics	en
dc.subject.other	HECKE ALGEBRAS	en
dc.subject.other	INVARIANTS	en
dc.subject.other	LINKS	en
dc.subject.other	REPRESENTATIONS	en
dc.subject.other	3-MANIFOLDS	en
dc.title	Knot theory in handlebodies	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We consider oriented knots and links in a handlebody of genus g through appropriate braid representatives in S-3, which are elements of the braid groups B-g,B-n. We prove a geometric version of the Markov theorem for braid equivalence in the handlebody, which is based on the L-moves. Using this we then prove two algebraic versions of the Markov theorem. The first one uses the L-moves. The second one uses the Markov moves and conjugation in the groups B-g,B-n. We show that not all conjugations correspond to isotopies.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS	en
dc.identifier.isi	ISI:000178529800006	en
dc.identifier.volume	11	en
dc.identifier.issue	6	en
dc.identifier.spage	921	en
dc.identifier.epage	943	en