Embeddings from the set of long flat virtual knots to the set of long virtual knots and applications

DOI10.1142/S021821652050025XzbMath1443.57009OpenAlexW3005392179MaRDI QIDQ3296880

Sera Kim, Young Ho Im, Kyeonghui Lee

Publication date: 2 July 2020

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

Full work available at URL: https://doi.org/10.1142/s021821652050025x

zbMATH Keywords

signed chord diagramlong virtual knotlong flat virtual knotflat intersection indexpointed signed chord diagram

Mathematics Subject Classification ID

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

Cites Work

• Link invariants via counting surfaces
• Minimal generating sets of Reidemeister moves
• A polynomial invariant of long virtual knots
• On filamentations and virtual knots
• Virtual strings.
• Virtual knot theory
• New invariants of knotoids
• A FOUR-VARIABLE INDEX POLYNOMIAL INVARIANT OF LONG VIRTUAL KNOTS
• Introduction to Vassiliev Knot Invariants
• A POLYNOMIAL INVARIANT FOR FLAT VIRTUAL LINKS
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• INVARIANTS OF KNOT DIAGRAMS AND RELATIONS AMONG REIDEMEISTER MOVES
• INTRODUCTION TO VIRTUAL KNOT THEORY
• A sequence of polynomial invariants for Gauss diagrams

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