Braids in trivial braid diagrams

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dc.creatorDehornoy, Patrick
dc.date2003-11-19
dc.date.accessioned2026-07-07T05:03:02Z
dc.date.available2026-07-07T05:03:02Z
dc.descriptionWe show that every trivial 3-strand braid diagram contains a disk, defined as a ribbon ending in opposed crossings. Under a convenient algebraic form, the result extends to every Artin--Tits group of dihedral type, but it fails to extend to braids with 4 strands and more. The proof uses a partition of the Cayley graph and a continuity argument.
dc.identifierhttps://arxiv.org/abs/math/0311326
dc.identifierhttp://arxiv.org/abs/math/0311326
dc.identifierTopology 43-5 (2004) 1067-1079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69255
dc.subjectGeometric Topology
dc.subject57M25, 20F36
dc.titleBraids in trivial braid diagrams
dc.typetext

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