Dehn surgery on knots in 3-manifolds

Lackenby, Marc

doi:10.1090/S0894-0347-97-00241-5

Dehn surgery on knots in 3-manifolds
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by Marc Lackenby

J. Amer. Math. Soc. 10 (1997), 835-864

DOI: https://doi.org/10.1090/S0894-0347-97-00241-5

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References

David Gabai, Foliations and the topology of $3$-manifolds. II, J. Differential Geom. 26 (1987), no. 3, 461–478. MR 910017
C. McA. Gordon and J. Luecke, Only integral Dehn surgeries can yield reducible manifolds, Math. Proc. Cambridge Philos. Soc. 102 (1987), no. 1, 97–101. MR 886439, DOI 10.1017/S0305004100067086
John Hempel, $3$-Manifolds, Annals of Mathematics Studies, No. 86, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1976. MR 0415619
William Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics, vol. 43, American Mathematical Society, Providence, R.I., 1980. MR 565450, DOI 10.1090/cbms/043
Robion Kirby, A calculus for framed links in $S^{3}$, Invent. Math. 45 (1978), no. 1, 35–56. MR 467753, DOI 10.1007/BF01406222
M. Lackenby, Surfaces, surgery and unknotting operations, To appear in Math. Ann.
M. Lackenby, Upper bounds in theory of unknotting operations, To appear in Topology.
W. B. R. Lickorish, A representation of orientable combinatorial $3$-manifolds, Ann. of Math. (2) 76 (1962), 531–540. MR 151948, DOI 10.2307/1970373
Martin Scharlemann, Sutured manifolds and generalized Thurston norms, J. Differential Geom. 29 (1989), no. 3, 557–614. MR 992331
Martin Scharlemann, Producing reducible $3$-manifolds by surgery on a knot, Topology 29 (1990), no. 4, 481–500. MR 1071370, DOI 10.1016/0040-9383(90)90017-E
Martin Scharlemann, Unlinking via simultaneous crossing changes, Trans. Amer. Math. Soc. 336 (1993), no. 2, 855–868. MR 1200011, DOI 10.1090/S0002-9947-1993-1200011-3
Peter Scott, The geometries of $3$-manifolds, Bull. London Math. Soc. 15 (1983), no. 5, 401–487. MR 705527, DOI 10.1112/blms/15.5.401