Alexander and writhe polynomials for virtual knots

DOI10.1142/S0218216516500504zbMath1376.57009arXiv1601.07153MaRDI QIDQ3188162

Blake Mellor

Publication date: 17 August 2016

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

Full work available at URL: https://arxiv.org/abs/1601.07153

zbMATH Keywords

Alexander polynomialvirtual knotswrithe polynomialodd writhe

Mathematics Subject Classification ID

Related Items (7)

Linking invariants of even virtual links ⋮ A new invariant of planar knotoids and finite-type invariants ⋮ The intersection polynomials of a virtual knot I: Definitions and calculations ⋮ Quantum invariants of knotoids ⋮ From chord parity to chord index ⋮ Virtual concordance and the generalized Alexander polynomial ⋮ Milnor's concordance invariants for knots on surfaces

Cites Work

• Minimal generating sets of Reidemeister moves
• A POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• A LINKING NUMBER DEFINITION OF THE AFFINE INDEX POLYNOMIAL AND APPLICATIONS
• The Alexander polynomial for virtual twist knots
• The Forbidden Number of a Knot
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• POLYNOMIAL INVARIANTS OF VIRTUAL LINKS
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• AN ESTIMATE OF THE UNKNOTTING NUMBERS FOR VIRTUAL KNOTS BY FORBIDDEN MOVES
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• Alexander invariants for virtual knots

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