A multivariable polynomial invariant of virtual links and cut systems

DOI10.1016/j.topol.2020.107518zbMath1473.57026OpenAlexW3112224813MaRDI QIDQ820662

Naoko Kamada

Publication date: 27 September 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107518

zbMATH Keywords

knot theorypolynomial invariantvirtual knot

Mathematics Subject Classification ID

Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• On the Jones polynomials of checkerboard colorable virtual links
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Span of the Jones polynomial of an alternating virtual link
• Virtual knot theory
• The braid-permutation group
• Converting virtual link diagrams to normal ones
• TWIN GROUPS OF VIRTUAL 2-BRIDGE KNOTS AND ALMOST CLASSICAL KNOTS
• Virtual knot groups and almost classical knots
• CROWELL'S DERIVED GROUP AND TWISTED POLYNOMIALS
• THE POLE DIAGRAM AND THE MIYAZAWA POLYNOMIAL
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• Jones Polynomials of Alternating Links
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Checkerboard framings and states of virtual link diagrams
• Coherent double coverings of virtual link diagrams
• Cyclic coverings of virtual link diagrams
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR UNORIENTED VIRTUAL KNOTS AND LINKS
• Cut points: An invariant of virtual links

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