Braidoids

dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)
dc.bibliographicCitation.volume17
dc.contributor.authorGügümcü, Neslihan
dc.contributor.authorLambropoulou, Sofia
dc.date.accessioned2024-10-16T16:53:57Z
dc.date.available2024-10-16T16:53:57Z
dc.date.issued2020
dc.description.abstractBraidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper, we introduce the notion of braidoids in R², a closure operation for braidoids, we prove an analogue of the Alexander theorem, namely an algorithm that turns a knotoid into a braidoid, and we formulate and prove a geometric analogue of the Markov theorem for braidoids using the L-moves.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16934
dc.identifier.urihttps://doi.org/10.34657/15956
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach
dc.relation.doihttps://doi.org/10.14760/OWP-2020-17
dc.relation.issn1864-7596
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
dc.subject.ddc510
dc.subject.otherBraidoids
dc.subject.otherKnotoids
dc.subject.otherMarkov theorem
dc.subject.otherAlexander theorem
dc.titleBraidoids
dc.typeReport
dc.typeText
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