Foliations and surgery on knots

DOI10.1090/S0273-0979-1986-15443-1zbMath0606.57014MaRDI QIDQ3744906

David Gabai

Publication date: 1986

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

zbMATH Keywords

knots3-manifoldstaut foliationsknot-complementsclosed transversalfoliations of finite depthnorm-minimizing surface

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30)

Related Items

Symmetric chain complexes, twisted Blanchfield pairings and knot concordance ⋮ Codimension two PL embeddings of spheres with nonstandard regular neighborhoods ⋮ The reducibility of surgered 3-manifolds ⋮ Residual properties of graph manifold groups ⋮ Symmetry of Knots and Cyclic Surgery ⋮ On groups associated to a knot ⋮ A calculus for rational tangles: applications to DNA recombination ⋮ Untangling DNA ⋮ Cyclic surgery and satellite knots ⋮ Chirurgies de Dehn de pente \(\pm 1\) sur certains noeds dans les 3- variétés. (Dehn surgery of genus \(\pm 1\) on certain knots in 3- manifolds) ⋮ Genus-two trisections are standard

Cites Work

• Calibrated geometries
• Foliations and the topology of 3-manifolds. II
• Surgery on knots in solid tori
• A homological characterization of foliations consisting of minimal surfaces
• Foliations by planes
• Elementary surgery along a torus knot
• Dehn Surgery and Satellite Knots
• Foliations and the topology of 3-manifolds
• Dehn surgery on knots
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item