On Slavik Jablan’s work on 4-moves

DOI10.1142/S0218216516410145zbMath1353.57017arXiv1512.09162OpenAlexW2963356125MaRDI QIDQ2827435

Józef H. Przytycki

Publication date: 19 October 2016

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

Full work available at URL: https://arxiv.org/abs/1512.09162

zbMATH Keywords

knotlinkJones polynomialArf invariantKauffman bracketBurnside problemsFox \(n\)-coloringKawauchi 4-move conjecturequartic skein moduletangle multiplication

Mathematics Subject Classification ID

Related Items (5)

The Gordian complexes of knots given by 4-move ⋮ The Dabkowski-Sahi invariant and 4-moves for links ⋮ Generalized virtualization on welded links ⋮ Burnside groups and 𝑛-moves for links ⋮ Unknotting operations on knots and links

Uses Software

• SnapPy

Cites Work

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• From Goeritz Matrices to Quasi-alternating Links
• ON 4-MOVE EQUIVALENCE CLASSES OF KNOTS AND LINKS OF TWO COMPONENTS
• Homotopy skein modules of orientable 3-manifolds
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• RACKS AND LINKS IN CODIMENSION TWO
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• ON GENERALIZED UNKNOTTING OPERATIONS
• COVERING PROPERTIES OF SMALL VOLUME HYPERBOLIC 3-MANIFOLDS
• The fourth Skein Module and the Montesinos-Nakanishi Conjecture for 3-algebraic links
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• Knots and Distributive Homology: From Arc Colorings to Yang–Baxter Homology
• NEW INVARIANT OF 4-MOVES
• Unexpected connections between Burnside groups and knot theory

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