Complexity of virtual multistrings

DOI10.1142/S0219199721500668zbMath1504.57017arXiv1709.01340OpenAlexW3194873118MaRDI QIDQ5095856

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Publication date: 11 August 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01340

zbMATH Keywords

minimalityvirtual knotscurves on surfacesvirtual stringsvirtual homotopy

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Parity in knot theory and graph-links
• Shortening curves on surfaces
• Virtual strings.
• Virtual knot theory
• On tabulating virtual strings
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• Detecting Non-Triviality of Virtual Links
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Multistring based matrices
• A generalization of Turaev’s virtual string cobracket and self-intersections of virtual strings

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