Journal of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6834(e) ISSN 0894-0347(p)

Knots are determined by their complements

Author(s): C. McA. Gordon; J. Luecke
Journal: J. Amer. Math. Soc. 2 (1989), 371-415.
MSC: Primary 57M25; Secondary 57M40
MathSciNet review: 965210
Retrieve article in: PDF
This article is available free of charge

References:

[CGLS]: M. Culler, C. McA. Gordon, J. Luecke, and P. B. Shalen, Dehn surgery on knots, Ann. of Math. (2) 125 (1987), 237-300. MR 881270 (88a:57026)
[Cerf]: J. Cerf, Sur les diffeomorphismes de la sphère de dimension trois $({\Gamma _4} = 0)$ , Lecture Notes in Math., no. 53, Springer-Verlag, Berlin and New York, 1968. MR 0229250 (37:4824)
[FW]: C. D. Feustel and W. Whitten, Groups and complements of knots, Canad. J. Math. 30 (1978), 1284-1295. MR 511562 (80b:57004)
[Ga]: D. Gabai, Foliations and the topology of -manifolds. III, J. Differential Geom. 26 (1987), 479-536. MR 910018 (89a:57014b)
[Gl]: L. Glass, A combinatorial analog of the Poincaré Index Theorem, J. Combin. Theory Ser. B 15 (1973), 264-268. MR 0327558 (48:5900)
[J]: K. Johannson, Equivalences d'homotopie des variétés de dimension 3, C. R. Acad. Sci. Paris Sér. A 281 (1975), 1009-1010. MR 0391096 (52:11918)
[L]: R. A. Litherland, Surgery on knots in solid tori, II, J. London Math. Soc. (2) 22 (1980), 559-569. MR 596334 (82d:57002)
[T]: H. Tietze, Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten, Monatsh. Math. Phys. 19 (1908), 1-118. MR 1547755
[W]: F. Waldhausen, Recent results on sufficiently large -manifolds, Proc. Sympos. Pure Math., Vol. 32, Part 2, Amer. Math. Soc., Providence, RI, 1978, pp. 21-38. MR 520520 (80e:57010)

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|