Extensions of some classical local moves on knot diagrams

DOI10.1307/mmj/1531447373zbMath1406.57003arXiv1510.04237OpenAlexW2963239344WikidataQ129515661 ScholiaQ129515661MaRDI QIDQ1616290

Paolo Bellingeri, Benjamin Audoux, Emmanuel Wagner, Jean-Baptiste Meilhan

Publication date: 1 November 2018

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04237

zbMATH Keywords

knotinvariantlinklinking numberunknotting operationvirtual linkstring-linkcrossing changevirtual knotlocal moveGauss diagramwelded knotband-pass moveDelta movefused linkvirtual linking numbervirtual string linkwelded braidwelded linkwelded string-link

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (12)

Virtual and universal braid groups, their quotients and representations ⋮ The pass move is an unknotting operation for welded knots ⋮ Unrestricted virtual braids and crystallographic braid groups ⋮ Arrow calculus for welded and classical links ⋮ Classification of 2-component virtual links up to ${\varXi }$-moves ⋮ Representations of flat virtual braids which do not preserve the forbidden relations ⋮ On finite type invariants of welded string links and ribbon tubes ⋮ Unnamed Item ⋮ Milnor invariants, \(2n\)-moves and \(V^n\)-moves for welded string links ⋮ Generalized virtualization on welded links ⋮ Welded extensions and ribbon restrictions of diagrammatical moves ⋮ Classification of virtual string links up to cobordism

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