Distinguishing surface-links described by 4-charts with two crossings and eight black vertices

DOI10.1142/s021821652350092xOpenAlexW4389856735MaRDI QIDQ6198940

Teruo Nagase, Akiko Shima

Publication date: 23 February 2024

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

Full work available at URL: https://doi.org/10.1142/s021821652350092x

zbMATH Keywords

surface-linkcrossingchartquandle coloringC-move

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Higher-dimensional knots and links (57K45)

Cites Work

• The closure of a surface braid represented by a 4-chart with at most one crossing is a ribbon surface
• Any chart with at most one crossing is a ribbon chart
• A characterization of groups of closed orientable surfaces in 4-space
• Surfaces in 4-space
• On charts with two crossings II
• The structure of a minimal \(n\)-chart with two crossings. II. Neighbourhoods of \(\Gamma _1\cup \Gamma _{n-1}\)
• SURFACES IN R⁴ OF BRAID INDEX THREE ARE RIBBON
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• The structure of a minimal n-chart with two crossings I: Complementary domains of Γ1 ∪ Γn−1
• THE CLOSURES OF SURFACE BRAIDS OBTAINED FROM MINIMAL n-CHARTS WITH FOUR WHITE VERTICES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Distinguishing surface-links described by 4-charts with two crossings and eight black vertices