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Foliations and surgery on knots
Author(s):
David
Gabai
Journal:
Bull. Amer. Math. Soc.
15
(1986),
83-87.
MSC (1985):
Primary 57M25;
Secondary 57N12, 57R30
MathSciNet review:
838791
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References |
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Additional information
References:
- [A] J. W. Alexander, On the subdivision of 3-space by a polyhedron, Proc. Nat. Acad. Sci. 10 (1924), 6-8.
- [CGLS] M. Culler, C. Gordon, J. Luecke and P. Shalen, Dehn surgery on knots, Bull. Amer. Math. Soc. (N.S.) 13 (1985), 43-45. MR 788388
- [G1] D. Gabai, Foliations and the topology of 3-manifolds, J. Differential Geom. 18 (1983), 445-503. MR 723813
- [G2] D. Gabai, Foliations and the topology of 3-manifolds. II, J. Differential Geom. (to appear). MR 910017
- [G3] D. Gabai, Foliations and the topology of 3-manifolds. III, J. Differential Geom. (to appear) MR 910018
- [G4] D. Gabai, Surgery on knots in solid tori, Preprint. MR 991095
- [Ga] F. Gonzales-Acuña, Dehn's construction on knots, Bol. Soc. Mat. Mexicana 15 (1970), 58-79. MR 356022
- [Go] C. M. Gordon, Dehn surgery and satellite knots, Trans. Amer. Math. Soc. 275 (1983), 687-708. MR 682725
- [HL] R. Harvey and B. Lawson, Calibrated geometries, Acta Math. 148 (1982), 47-157. MR 666108
- [N] S. P. Novikov, Topology of foliations, Trans. Moscow Math. Soc. 14 (1963), 268-305.
- [Mo] L. Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971), 737-745. MR 383406
- [R] G. Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust. No. 1183, Hermann, Paris, 1952, pp. 91-158. MR 55692
- [Ro] H. Rosenberg, Foliations by planes, Topology 7 (1968), 131-138. MR 228011
- [S] D. Sullivan, A homological characterization of foliations consisting of minimal surfaces, Comment. Math. Helv. 54 (1979), 218-223. MR 535056
- [T] W. P. Thurston, A norm on the homology of 3-manifolds, Mem. Amer. Math. Soc. No. 339, 1986. MR 823443
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15443-1
PII:
S 0273-0979(1986)15443-1
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