On the classification of Heegaard splittings

DOI10.1215/00127094-2018-0023zbMath1403.57013arXiv1509.05945OpenAlexW2199307702WikidataQ129163825 ScholiaQ129163825MaRDI QIDQ1626584

Daniel Ketover, David Gabai, Tobias Holck Colding

Publication date: 21 November 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05945

zbMATH Keywords

hyperbolic 3-manifoldHeegaard splittingnon-Haken 3-manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (8)

Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds ⋮ Equivariant index bound for min-max free boundary minimal surfaces ⋮ A free boundary minimal surface via a 6-sweepout ⋮ Min-max theory for minimal hypersurfaces with boundary ⋮ Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory ⋮ Minimal 2-spheres in 3-spheres ⋮ Some results on Heegaard splitting ⋮ A mountain-pass theorem for asymptotically conical self-expanders

Cites Work

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• An algorithm to determine the Heegaard genus of a 3-manifold
• Nielsen equivalence in Fuchsian groups and Seifert fibered spaces
• Stabilization of Heegaard splittings
• Reducing Heegaard splittings
• Heegaard splittings of Seifert fibered spaces
• Isotopie de formes fermées en dimension trois
• Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal
• The irreducibility of Heegaard splittings of Seifert fibered spaces
• Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds
• Topology and combinatorics of 3-manifolds
• Comparing Heegaard splittings of non-Haken 3-manifolds
• Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds
• Heegaard-Zerlegungen der 3-Sphäre
• Nicht-homöomorphe Heegaard-Zerlegungen vom Geschlecht 2 der zusammenhängenden Summe zweier Linsenräume
• The stabilization problem for Heegaard splittings of Seifert fibered spaces
• Scindements de Heegaard des espaces lenticulaires
• Three-Dimensional Manifolds and Their Heegaard Diagrams
• Bounding the stable genera of Heegaard splittings from below
• Curvature Bounds for Surfaces in Hyperbolic 3-Manifolds
• Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds

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