The polynomials of prime virtual knots of genus 1 and complexity at most 5

DOI10.1134/S003744662006004XzbMath1456.57012OpenAlexW3111011896MaRDI QIDQ2222189

Maxim Ivanov, Andrei Vesnin

Publication date: 26 January 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744662006004x

zbMATH Keywords

virtual knotaffine index polynomialknot in thickened torus

Mathematics Subject Classification ID

Knot polynomials (57K14) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Unnamed Item
• What is a virtual link?
• Virtual strings.
• Virtual knot theory
• A POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• Classification of genus 1 virtual knots having at most five classical crossings
• Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants
• Virtual knot cobordism and the affine index polynomial
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• F-polynomials of tabulated virtual knots
• The writhes of a virtual knot

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