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Dehn surgery on knots in 3-manifolds
Author(s):
Marc
Lackenby
Journal:
J. Amer. Math. Soc.
10
(1997),
835-864.
MSC (1991):
Primary 57N10;
Secondary 57M25
MathSciNet review:
1443548
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Additional information
References:
- 1.
- D. Gabai, Foliations and the topology of 3-manifolds, II, J. Differ. Geom. 26 (1987), 461-478. MR 89a:57014a
- 2.
- C. Gordon and J. Luecke, Only integral Dehn surgeries yield reducible manifolds, Math. Proc. Camb. Phil. Soc. 102 (1987), 97-101. MR 89a:57003
- 3.
- J. Hempel, 3-Manifolds, Ann. of Math. Studies, No. 86, Princeton Univ. Press, Princeton, N. J., 1976. MR 54:3702
- 4.
- W. Jaco, Lectures on Three-Manifold Topology, Regional Conference Series in Mathematics, No. 43, Providence 1980, A. M. S. MR 81k:57009
- 5.
- R. Kirby, A calculus for framed links in
 , Inv. Math. 45 (1978), 36-56. MR 57:7605 - 6.
- M. Lackenby, Surfaces, surgery and unknotting operations, To appear in Math. Ann.
- 7.
- M. Lackenby, Upper bounds in theory of unknotting operations, To appear in Topology.
- 8.
- W. B. R. Lickorish, A representation of orientable combinatorial 3-manifolds, Ann. of Math. 76 (1962), 531-540. MR 27:1929
- 9.
- M. Scharlemann, Sutured manifolds and generalized Thurston norms, J. Differ. Geom. 29 (1989), 557-614. MR 90e:57021
- 10.
- M. Scharlemann, Producing reducible 3-manifolds by surgery on a knot, Topology 29 (1990), 481-500. MR 91i:57003
- 11.
- M. Scharlemann, Unlinking via simultaneous crossing changes, Trans. Amer. Math. Soc. 336 (1993), 855-868. MR 93k:57021
- 12.
- P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), 401-487. MR 84m:57009
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Additional Information:
Marc
Lackenby
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, England
Email:
ml128@pmms.cam.ac.uk
DOI:
10.1090/S0894-0347-97-00241-5
PII:
S 0894-0347(97)00241-5
Received by editor(s):
April 26, 1996
Received by editor(s) in revised form:
April 22, 1997
Copyright of article:
Copyright
1997,
American Mathematical Society
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