Classification of links up to self $#$-move

dc.creatorShibuya, Tetsuo
dc.creatorYasuhara, Akira
dc.date2000-06-06
dc.date.accessioned2026-07-07T04:35:45Z
dc.date.available2026-07-07T04:35:45Z
dc.descriptionA pass-move and a $#$-move are local moves on oriented links defined by L.H. Kauffman and H. Murakami respectively. Two links are self pass-equivalent (resp. self $#$-equivalent) if one can be deformed into the other by pass-moves (resp. $#$-moves), where non of them can occur between distinct components of the link. These relations are equivalence relations on ordered oriented links and stronger than link-homotopy defined by J. Milnor. We give two complete classifications of links with arbitrarily many components up to self pass-equivalence and up to self $#$-equivalence respectively. So our classifications give subdivisions of link-homotopy classes.
dc.descriptionLaTeX, 9 pages with 8 figures
dc.identifierhttps://arxiv.org/abs/math/0006040
dc.identifierhttp://arxiv.org/abs/math/0006040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59358
dc.subjectGeometric Topology
dc.subject57M25
dc.titleClassification of links up to self $#$-move
dc.typetext

Files

Collections