Simplifying branched covering surface-knots by chart moves involving black vertices

zbMath1402.57022arXiv1709.07762MaRDI QIDQ1670790

Inasa Nakamura

Publication date: 6 September 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07762

zbMATH Keywords

branch pointbranched covering2-dimensional braidsurface knot1-handleblack verticeschart moves

Mathematics Subject Classification ID

Embeddings and immersions in PL-topology (57Q35)

Related Items (2)

Branched covering surface-knots with degree three have the simplifying numbers less than three ⋮ Simplifying branched covering surface-knots by an addition of 1-handles with chart loops

Cites Work

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• Surface links which are coverings over the standard torus
• Braided surfaces and Seifert ribbons for closed braids
• Surfaces in 4-space
• Stably irreducible surfaces in \(S^ 4\)
• Satellites of an oriented surface link and their local moves
• On addition of 1-handles with chart loops to 2-dimensional braids
• Surface-Knots in 4-Space
• SURFACES IN R⁴ OF BRAID INDEX THREE ARE RIBBON
• THE TURNED TORUS KNOT IN S⁴
• AN OBSERVATION OF SURFACE BRAIDS VIA CHART DESCRIPTION
• Simplifying branched covering surface-knots by an addition of 1-handles with chart loops

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