Polynomial invariants and quandles of twisted links

DOI10.1016/j.topol.2011.11.024zbMath1239.57018OpenAlexW2009170831MaRDI QIDQ409555

Naoko Kamada

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.024

zbMATH Keywords

quandlepolynomial invariantvirtual knot theorytwisted knot theory

Mathematics Subject Classification ID

Related Items (6)

On Twisted Knots ⋮ A table of twisted knots with crossing number 3 ⋮ Surface pole bracket polynomials of virtual knots and twisted knots ⋮ A twisted link invariant derived from a virtual link invariant ⋮ INDEX POLYNOMIAL INVARIANTS OF TWISTED LINKS ⋮ The Chord Index, its Definitions, Applications, and Generalizations

Cites Work

• Twisted link theory
• The Turaev genus of an adequate knot
• The polynomial invariants of twisted links
• A classifying invariant of knots, the knot quandle
• Virtual knot theory
• THE POLE DIAGRAM AND THE MIYAZAWA POLYNOMIAL
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• BIQUANDLES WITH STRUCTURES RELATED TO VIRTUAL LINKS AND TWISTED LINKS
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR UNORIENTED VIRTUAL KNOTS AND LINKS
• On the crossing numbers of a virtual knot

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