An index polynomial invariant for flat virtual knots

DOI10.1016/J.EJC.2010.06.003zbMath1257.57016OpenAlexW2088905866MaRDI QIDQ710734

Heeok Son, Young Ho Im, Kyeonghui Lee

Publication date: 22 October 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.06.003

zbMATH Keywords

polynomial invariantinvertibleflat virtual knotsvirtual crossing number

Mathematics Subject Classification ID

Related Items (10)

State sum invariants for flat virtual links from the chord index ⋮ An invariant of virtual knots using flat virtual knot diagrams ⋮ GENERALIZED INDEX POLYNOMIALS FOR VIRTUAL LINKS ⋮ On arrow polynomials of checkerboard colorable virtual links ⋮ The three loop isotopy and framed isotopy invariants of virtual knots ⋮ AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS ⋮ A family of polynomial invariants for flat virtual knots ⋮ INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS ⋮ The affine index polynomial invariant of flat virtual knots ⋮ Polynomial invariants of flat virtual links using invariants of virtual links

Cites Work

• On the Jones polynomials of checkerboard colorable virtual links
• On filamentations and virtual knots
• Finite-type invariants of classical and virtual knots
• Virtual strings.
• Virtual knot theory
• ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS
• MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS
• KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS
• QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS
• INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS
• ALEXANDER GROUPS AND VIRTUAL LINKS
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Parity in knot theory
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