Heegaard splittings of \((\text{surface})\times I\) are standard

DOI10.1007/BF01444902zbMath0814.57010OpenAlexW1978043097MaRDI QIDQ1318024

Martin G. Scharlemann, Abigail A. Thompson

Publication date: 18 June 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165057

zbMATH Keywords

compression bodiesspinesHeegaard splittings of a closed orientable genus \(g\) surface crossed with an interval

Mathematics Subject Classification ID

Related Items (50)

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Cites Work

• The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)
• An unknotting lemma for systems of arcs in F\(\times I\)
• Reducing Heegaard splittings
• On primitive sets of loops in the boundary of a handlebody
• Foliations and the topology of 3-manifolds. III
• Unstable minimal surfaces and Heegaard splittings
• Detecting unknotted graphs in 3-space
• On the Heegaard splitting of the torus \(T^ 3\)
• Heegaard-Zerlegungen der 3-Sphäre
• Adding a 2-Handle to a 3-Manifold: An Application to Property R
• A Generalization of the Handle Addition Theorem

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