The structure of a minimal n-chart with two crossings I: Complementary domains of Γ1 ∪ Γn−1

DOI10.1142/S0218216518500785zbMath1408.57025arXiv1704.01232OpenAlexW2895294886MaRDI QIDQ4645687

Teruo Nagase, Akiko Shima

Publication date: 10 January 2019

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

Full work available at URL: https://arxiv.org/abs/1704.01232

zbMATH Keywords

enumerationcrossingschartsurface link

Mathematics Subject Classification ID

Embeddings and immersions in PL-topology (57Q35)

Related Items (6)

Properties of minimal charts and their applications VIII: Charts of type (7) ⋮ Properties of minimal charts and their applications. IX: Charts of type \((4, 3)\) ⋮ Distinguishing surface-links described by 4-charts with two crossings and eight black vertices ⋮ Properties of minimal charts and their applications VII: charts of type (2,3,2) ⋮ Properties of minimal charts and their applications V: Charts of type (3,2,2) ⋮ The structure of a minimal \(n\)-chart with two crossings. II. Neighbourhoods of \(\Gamma _1\cup \Gamma _{n-1}\)

Cites Work

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• 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
• Minimal charts
• On charts with two crossings II
• On surface braids of index four with at most two crossings
• SURFACES IN R⁴ OF BRAID INDEX THREE ARE RIBBON

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