Neighborhood equivalence for multibranched surfaces in 3-manifolds

DOI10.1016/j.topol.2019.02.005zbMath1416.57002arXiv1806.08919OpenAlexW2810125756WikidataQ128332433 ScholiaQ128332433MaRDI QIDQ670148

Makoto Ozawa, Koya Shimokawa, Kai Ishihara, Yuya Koda

Publication date: 18 March 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08919

zbMATH Keywords

multibranched surfaceneighborhood equivalencetricontinuous pattern

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items

Stable equivalence of handlebody decompositions whose partitions are multibranched surfaces, Multibranched surfaces in 3-manifolds, A partial order on multibranched surfaces in 3-manifolds

Cites Work

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• An obstruction to embedding 2-dimensional complexes into the 3-sphere
• Moves and invariants for knotted handlebodies
• On Heegaard diagrams
• Characterization of 3-punctured spheres in non-hyperbolic link exteriors
• Genera and minors of multibranched surfaces
• On linear graphs in 3-sphere
• TRANSFORMATIONS OF SPECIAL SPINES AND THE ZEEMAN CONJECTURE