Journal of Differential Geometry

Foliations and the topology of {3}-manifolds. III

David Gabai

Source: J. Differential Geom. Volume 26, Number 3 (1987), 479-536.

Related Works:

Primary Subjects: 57N10
Secondary Subjects: 57R30

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214441488
Mathematical Reviews number (MathSciNet): MR910018
Zentralblatt MATH identifier: 0639.57008

References

[1] M. Culler, C. Gordon, J. Luecke and P. Shalen, Dehn surgery on knots, Ann. of Math., to appear.
Zentralblatt MATH: 0633.57006
Mathematical Reviews (MathSciNet): MR788388
[2] W. Floyd and U. Oertel, Incompressible surfaces via branched surfaces, Topology 23 (1984) 117-125.
Zentralblatt MATH: 0524.57008
Mathematical Reviews (MathSciNet): MR721458
[3] D. Gabai, Foliations and the topology of 3-manifolds, J. Differential Geometry 18 (1983) 445-503.
Zentralblatt MATH: 0533.57013
Mathematical Reviews (MathSciNet): MR723813
[4] D. Gabai, Foliations and genera of links, Topology 23 (1984) 381-394.
Zentralblatt MATH: 0567.57021
Mathematical Reviews (MathSciNet): MR780731
[5] D. Gabai, The simple loop conjecture, J. Differential Geometry 21 (1985) 143-149.
Zentralblatt MATH: 0556.57007
Mathematical Reviews (MathSciNet): MR806708
[6] D. Gabai, Foliations and the topology of 3-manifolds. II, J. Differential Geometry 26 (1987) 461-478.
Zentralblatt MATH: 0627.57012
Mathematical Reviews (MathSciNet): MR910017
[7] D. Gabai, Surgery on knots in solid tori, in preparation.
Zentralblatt MATH: 0678.57004
[8] F. Gonzales-Acuha, Dehn's construction on knots, Bol. Soc. Mat. Mexicana 15 (1970) 58-79.
Zentralblatt MATH: 0229.55004
Mathematical Reviews (MathSciNet): MR356022
[9] J. Hempel, 3-manifolds, Annals of Math. Studies, Vol. 86, Princeton University Press, Princeton, NJ, 1976.
Zentralblatt MATH: 0345.57001
Mathematical Reviews (MathSciNet): MR415619
[10] W. H. Jaco, Lectures on three-manifold topology, Regional Conf. Ser. in Math., No. 43, Amer. Math. Soc, Providence, RI, 1980.
Zentralblatt MATH: 0433.57001
Mathematical Reviews (MathSciNet): MR565450
[11] W. Jaco and P. Shalen, Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc, No. 220 (1979).
Zentralblatt MATH: 0415.57005
Mathematical Reviews (MathSciNet): MR539411
[12] K. Johannson, Homotopy equivalences of 3-manifolds with boundary, Lecture Notes in Math., Vol. 761, Springer, Berlin, 1979.
Zentralblatt MATH: 0412.57007
Mathematical Reviews (MathSciNet): MR551744
[13] R. Kirby, Problems in low dimensional manifold theory, Proc Sympos. Pure Math., Vol. 32, Amer. Math. Soc, Providence, RI, 1978, 273-312.
Zentralblatt MATH: 0394.57002
Mathematical Reviews (MathSciNet): MR520548
[14] R. Litherland, Surgery on knots in solid tori. II, J. London Math. Soc. (2) 22 (1980) 559-569.
Zentralblatt MATH: 0508.57002
Mathematical Reviews (MathSciNet): MR596334
[15] L. Neuwirth, Knot groups, Annals of Math. Studies, Vol. 56, Princeton University Press, Princeton, NJ, 1965.
Zentralblatt MATH: 0184.48903
Mathematical Reviews (MathSciNet): MR176462
[16] S. P. Novikov, Topology of foliations, Trans. Moscow Math. Soc. 14 (1963) 268-305.
Zentralblatt MATH: 0247.57006
[17] V. Poenaru, personal communication.
[18] R. Roussarie, Plongements dans les varietes feuilletees et classification de feuilletages sans holonomie, Inst. Hautes Etudes Sci. Publ. Math. 443 (1973) 101-142.
Zentralblatt MATH: 0356.57017
Mathematical Reviews (MathSciNet): MR358809
[19] M. Scharlemann, Tunnel number one knots satisfy the Poenaru conjecture, Topology Appl. 18 (1984) 235-258.
Zentralblatt MATH: 0592.57004
Mathematical Reviews (MathSciNet): MR769294
[20] W. P. Thurston, Foliations of manifolds which are circle bundles, Thesis, University of California, Berkeley, 1972.
[21] W. P. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Proc. Sympos. Pure Math., Vol. 27, Amer. Math. Soc, Providence, RI, 1975, 315-319.
Zentralblatt MATH: 0323.57014
Mathematical Reviews (MathSciNet): MR380828
[22] W. P. Thurston, A norm for the homology of three-manifolds, Mem. Amer. Math. Soc, Vol. 59, No. 339, 1986.
Zentralblatt MATH: 0585.57006
Mathematical Reviews (MathSciNet): MR823443

2009 © Lehigh University