A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere

DOI10.1142/S0218216521500711zbMath1481.57011arXiv1905.03159OpenAlexW2944712365MaRDI QIDQ5022636

Shosaku Matsuzaki

Publication date: 19 January 2022

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

Full work available at URL: https://arxiv.org/abs/1905.03159

zbMATH Keywords

Reidemeister movesspatial surfacescodimension \(1\) embeddingssurfaces in the \(3\)-sphere

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Relations of low-dimensional topology with graph theory (57M15) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)

Related Items (3)

Extensions of augmented racks and surface ribbon cocycle invariants ⋮ Fundamental heaps for surface ribbons and cocycle invariants ⋮ Braided Frobenius algebras from certain Hopf algebras

Cites Work

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• Moves and invariants for knotted handlebodies
• On Heegaard diagrams
• On a complexity of a surface in 3-sphere
• Lefschetz fibrations over the disc
• ON 4-DIMENSIONAL 2-HANDLEBODIES AND 3-MANIFOLDS
• A multiple group rack and oriented spatial surfaces

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