A partial order on multibranched surfaces in 3-manifolds

DOI10.1016/j.topol.2020.107074zbMath1437.57018arXiv1905.01055OpenAlexW3002554125WikidataQ126301297 ScholiaQ126301297MaRDI QIDQ2295667

Makoto Ozawa

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1905.01055

zbMATH Keywords

partial orderspine3-manifoldmultibranched surface

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Ordered topological structures (06F30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Other geometric structures on 3-manifolds (57K35)

Related Items (2)

Stable equivalence of handlebody decompositions whose partitions are multibranched surfaces ⋮ Multibranched surfaces in 3-manifolds

Cites Work

• Trisecting 4-manifolds
• Neighborhood equivalence for multibranched surfaces in 3-manifolds
• 2-stratifold spines of closed 3-manifolds
• Characterization of 3-punctured spheres in non-hyperbolic link exteriors
• Genera and minors of multibranched surfaces
• On irreducible 3-manifolds which are sufficiently large

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