Alexander’s and Markov’s theorems in dimension four

DOI10.1090/S0273-0979-1994-00505-1zbMath0831.57013arXivmath/9407217MaRDI QIDQ4302530

Seiichi Kamada

Publication date: 21 August 1994

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9407217

zbMATH Keywords

Markov's theoremAlexander's theorem2-braidsurface-link types in \(\mathbb{R}^ 4\)

Mathematics Subject Classification ID

Related Items (5)

Broken Lefschetz fibrations, branched coverings, and braided surfaces ⋮ Infinite sequences of mutually non-conjugate surface braids representing same surface-links ⋮ On braid monodromies of non-simple braided surfaces ⋮ The braid index is not additive for the connected sum of 2-knots ⋮ Alexander numbering of knotted surface diagrams

Cites Work

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• Braided surfaces and Seifert ribbons for closed braids
• Special positions for surfaces bounded by closed braids
• The theory of motion groups
• A characterization of groups of closed orientable surfaces in 4-space
• A characterization of 2-knots groups
• Artin-Gruppen und Coxeter-Gruppen
• A polynomial invariant for knots via von Neumann algebras
• Threading knot diagrams
• Motion of links in the 3-sphere.
• SURFACES IN R⁴ OF BRAID INDEX THREE ARE RIBBON

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