Heegaard surfaces in Haken 3-manifolds

DOI10.1090/S0273-0979-1990-15910-5zbMath0715.57006MaRDI QIDQ3202849

Klaus Johannson

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

essential surfacesHaken 3-manifoldDehn twists along toriisotopy classes of Heegaard splittings

Mathematics Subject Classification ID

Related Items (10)

Heegaard surfaces and measured laminations. I: the Waldhausen conjecture ⋮ HILDEN BRAID GROUPS ⋮ Characterization of 3-bridge links with infinitely many 3-bridge spheres ⋮ Computing Heegaard Genus is NP-Hard ⋮ Genus Two Heegaard Splittings ⋮ An algorithm to determine the Heegaard genus of a 3-manifold ⋮ Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds ⋮ Some results on Heegaard splitting ⋮ Decompositions of the 3-sphere and lens spaces with three handlebodies ⋮ Generalized Montesinos knots, tunnels and \({\mathcal N}\)-torsion

Cites Work

• Difféotopies des espaces lenticulaires
• Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I
• On Haken's theorem and its extension
• Incompressibility of surfaces after Dehn surgery
• Non-separating incompressible tori in 3-manifolds
• Unstable minimal surfaces and Heegaard splittings
• Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3- Mannigfaltigkeiten
• Heegard splittings of prime 3-manifolds are not unique
• On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds
• Homotopy equivalences of 3-manifolds with boundaries
• Heegaard-Zerlegungen der 3-Sphäre
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Adding a 2-Handle to a 3-Manifold: An Application to Property R
• The Thurston Norm and 2-Handle Addition
• Three-Dimensional Manifolds and Their Heegaard Diagrams
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