Taut foliations of \(3\)-manifolds and suspensions of \(S^ 1\)

DOI10.5802/aif.1289zbMath0736.57010OpenAlexW2315309061MaRDI QIDQ811545

David Gabai

Publication date: 1992

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1992__42_1-2_193_0

zbMATH Keywords

Dehn fillingtaut foliationReeb componentboundary contains a single toruscompact oriented 3-manifoldfoliation induced on boundary

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30)

Related Items

Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation ⋮ Heegaard surfaces and measured laminations. I: the Waldhausen conjecture ⋮ \(C^0\) approximations of foliations ⋮ Classifying the expanding attractors on the figure‐eight knot exterior and the non‐transitive Anosov flows on the Franks–Williams manifold ⋮ Anosov flows on Dehn surgeries on the figure-eight knot ⋮ Laminar branched surfaces in 3--manifolds ⋮ Foliations, orders, representations, L-spaces and graph manifolds ⋮ Group actions on order trees ⋮ Persistently foliar composite knots

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Closed incompressible surfaces in alternating knot and link complements
• Pseudo-Anosov maps and surgery on fibred 2-bridge knots
• Producing reducible 3-manifolds by surgery on a knot
• Quasi-Fuchsian Seifert surfaces
• Constructing lens spaces by surgery on knots
• Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie
• Essential laminations in 3-manifolds
• Sur les courbes definies par les équations différentielles à la surface du tore
• Essential laminations in Seifert-fibered spaces
• Foliations by planes
• Essential Laminations in Surgered 3-Manifolds