Tied links and invariants for singular links

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dc.contributor.authorAicardi, F.
dc.contributor.authorJuyumaya, J.
dc.date.accessioned2022-11-30T02:46:09Z
dc.date.available2022-11-30T02:46:09Z
dc.date.issued2021
dc.description.abstractTied links and the tied braid monoid were introduced recently by the authors and used to define new invariants for classical links. Here, we give a version purely algebraic–combinatoric of tied links. With this new version we prove that the tied braid monoid has a decomposition like a semi–direct group product. By using this decomposition we reprove the Alexander and Markov theorem for tied links; also, we introduce the tied singular knots, the tied singular braid monoid and certain families of Homflypt type invariants for tied singular links; these invariants are five–variables polynomials. Finally, we study the behavior of these invariants; in particular, we show that our invariants distinguish non isotopic singular links indistinguishable by the Paris–Rabenda invariant.en_ES
dc.facultadFacultad de Cienciasen_ES
dc.file.nameAicardi_Tie2021.pdf
dc.identifier.doihttps://doi.org/10.1016/j.aim.2021.107629
dc.identifier.urihttp://repositoriobibliotecas.uv.cl/handle/uvscl/7210
dc.languageen
dc.publisherElsevier
dc.rights© 2021 Elsevier Inc. All rights reserved.
dc.sourceAdvances in Mathematics
dc.subjectTIED LINKSen_ES
dc.subjectSET PARTITIONen_ES
dc.subjectBT–ALGEBRAen_ES
dc.subjectINVARIANTS FOR SINGULAR LINKS AND TIEDen_ES
dc.subjectSINGULAR LINKSen_ES
dc.titleTied links and invariants for singular links
dc.typeArticulo
uv.departamentoInstituto de Matematicass
uv.notageneralNo disponible para descarga

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