A family of polynomial invariants for virtual knots

DOI10.1016/j.topol.2021.107712zbMath1468.57009OpenAlexW3158823299MaRDI QIDQ2033202

Yanyan Li

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107712

zbMATH Keywords

polynomial invariantvirtual knotgeneralized Reidemeister moves

Mathematics Subject Classification ID

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

Cites Work

• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• A zero polynomial of virtual knots
• A POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• An invariant of virtual knots using flat virtual knot diagrams
• Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• The affine index polynomial invariant of flat virtual knots
• The writhes of a virtual knot

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