Redefining disoriented knots and diagrammatic methods

DOI10.1002/MMA.8091zbMath1530.57002OpenAlexW4205641125MaRDI QIDQ6182336

Hatice Parlatici, Ismet Altintas

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8091

zbMATH Keywords

disoriented connected sumdisoriented Gauss codesdisoriented Gauss diagramsdisoriented knotdisoriented Reidemeister moves

Mathematics Subject Classification ID

Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (1)

An invariant of regular isotopy for disoriented links

Cites Work

• Minimal generating sets of Reidemeister moves
• Fixing the functoriality of Khovanov homology
• State models and the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• Introduction to disoriented knot theory
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS
• A new polynomial invariant of knots and links
• New Invariants in the Theory of Knots
• INTRODUCTION TO VIRTUAL KNOT THEORY
• A sequence of polynomial invariants for Gauss diagrams

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