References
Culler, M., Shalen, P.B.: Varieties of group representations and splittings of 3-manifolds. Annals of Math.117, 109–146 (1983)
Fatou, P.: Fonctions automorphes. Vol. 2 of Théorie des functions algébriques, (Appel, P.E., Goursat, E., eds.), pp. 158–160. Paris: Gauthiers-Villars 1930
Hempel, J.: 3-manifolds. Annals of Math. Study, Vol. 86, Princeton University Press 1976
Jaco, W.H.: Lectures on three manifold topology. C.B.M.S. regional conference series in mathematics43, Amer. Math. Soc. 1980
Jaco, W.H., Shalen, P.B.: Seifert Fibered Spaces in 3-Manifolds. Memoirs of Amer. Math. Soc.21, (no. 220) (1979)
Johannson, K.: Homotopy equivalences of 3-manifolds with boundaries. Lecture Notes in Mathematics Vol. 761 Berlin-Heidelberg-New York: Springer 1979
Lok, S.: Thesis, Columbia University
Marden, A.: The geometry of finitely-generated kleinian groups. Annals of Math.99, 383–462 (1974)
Mostow, G.D.: Quasi-conformal mappings inn-space and the rigidity of hyperbolic space forms. Publ. Math. I.H.E.S.34, 53–104 (1968)
Mumford, D.: Algebraic geometry I: Complex projective varieties. Grundlehren der Mathematischen Wissenschaften Vol. 221 Berlin-Heidelberg-New York: Springer 1976
Neuwirth, L.P.: Interpolating manifolds for knots inS 3. Topology2, 359–365 (1963)
Serre, JP.: Arbres, amalgames etSL 2. Astérisque46 (1977)
Shalen, P.B.: Separating, incompressible surfaces in 3-manifolds. Invent. Math.52, 105–126 (1979)
Thurston, W.: Geometry and topology of 3-manifolds. Photocopied notes, Princeton Univ. 1977
Thurston, W.: Hyperbolic structures on 3-manifolds. In: Proceedings of a Symposium on the Smith Conjecture. New York: Academic Press (in press)
Tretkoff, M.: A topological approach to the theory of groups acting on trees. J. Pure Appl. Algebra16, 323–333 (1980)
Weil, A.: On discrete subgroups of Lie Groups. Annals of Math.72, 369–384 (1960)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Culler, M., Shalen, P.B. Bounded, separating, incompressible surfaces in knot manifolds. Invent Math 75, 537–545 (1984). https://doi.org/10.1007/BF01388642
Issue Date:
DOI: https://doi.org/10.1007/BF01388642