Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants

DOI10.1142/S0218216518420154zbMath1428.57005arXiv1803.05191MaRDI QIDQ4646985

Kirandeep Kaur, M. Prabhakar, Andrei Vesnin

Publication date: 3 January 2019

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05191

zbMATH Keywords

knot invariantmirror imagewrithevirtual knotaffine index polynomialflat virtual knotindex valuecosmetic crossing change

Mathematics Subject Classification ID

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

Related Items (12)

Virtual and universal braid groups, their quotients and representations ⋮ Intersection formulas for parities on virtual knots ⋮ Representations of flat virtual braids which do not preserve the forbidden relations ⋮ F-polynomials of tabulated virtual knots ⋮ The polynomials of prime virtual knots of genus 1 and complexity at most 5 ⋮ A family of polynomial invariants for virtual knots ⋮ From chord parity to chord index ⋮ Some remarks on the chord index ⋮ Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves ⋮ The multi-variable affine index polynomial ⋮ An unknotting index for virtual links ⋮ Connected sum of virtual knots and F-polynomials

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• INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• The writhes of a virtual knot

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