Advertisement

Topological and algebraic automorphisms of 3-manifolds

  • Darryl McCullough
Research Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 1425)

Keywords

Fundamental Group Boundary Component Finite Index Mapping Class Group Outer Automorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [B]
    F. Bonahon, Cobordism of automorphisms of surfaces, Ann. École Norm. Sup. (4) 16 (1983), 237–270.MathSciNetzbMATHGoogle Scholar
  2. [F-R1]
    D. I. Fuks-Rabinovitch, On the automorphism groups of free products I, Math. Sb. 8 (50) (1940), 265–276.Google Scholar
  3. [F-R2]
    D. I. Fuks-Rabinovitch, On the automorphism groups of free products II, Math. Sb. 9 (51) (1941), 183–220.Google Scholar
  4. [G]
    N. Gilbert, Presentations of the automorphism group of a free product, Proc. London Math. Soc. (3) 54 (1987), 115–140.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [G1]
    H. Gluck, The imbedding of two-spheres in four-spheres, Bull. Amer. Math. Soc. 67(1961), 586–589.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [H1]
    W. Heil, On ℙ2-irreducible 3-manifolds, Bull. Amer. Math. Soc. 75 (1969), 772–775.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [H2]
    J. Hempel, 3-manifolds, Annals of Math. Study No. 86, Princeton University Press, Princeton (1976).zbMATHGoogle Scholar
  8. [H3]
    H. Hendriks, Applications de la théorie d'obstruction en dimension 3, Bull. Soc. Math. France Mémoire 53 (1977), 81–196.MathSciNetzbMATHGoogle Scholar
  9. [H-L]
    H. Hendriks and F. Laudenbach, Difféomorphismes des sommes connexes en dimension trois, Topology 23 (1984), 423–443.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [H-M]
    H. Hendriks and D. McCullough, On the diffeomorphism group of a reducible 3-manifold, Topology Appl. 26 (1987), 25–31.MathSciNetCrossRefzbMATHGoogle Scholar
  11. [K-M]
    J. Kalliongis and D. McCullough, π1-injective mappings of compact 3-manifolds, Proc. London Math. Soc. (3), 52 (1986), 173–192.MathSciNetCrossRefzbMATHGoogle Scholar
  12. [L]
    F. Laudenbach, Topologie de la dimension trois. Homotopie et isotopie, Astérisque 12 (1974), 1–152.MathSciNetzbMATHGoogle Scholar
  13. [M1]
    D. McCullough, Twist groups of compact 3-manifolds, Topology 24 (1985), 461–474.MathSciNetCrossRefzbMATHGoogle Scholar
  14. [M2]
    D. McCullough, The group of homotopy equivalences for a connected sum of closed aspherical manifolds, Indiana University Math. J. 30 (1981), 249–260.MathSciNetCrossRefzbMATHGoogle Scholar
  15. [M3]
    D. McCullough, Errata: The group of homotopy equivalences for a connected sum of closed aspherical manifolds, Indiana University Math. J. 34 (1985), 201–203.MathSciNetCrossRefzbMATHGoogle Scholar
  16. [M-M]
    D. McCullough and A. Miller, Homeomorphisms of 3-manifolds with compressible boundary, Mem. Amer. Math. Soc. 344 (1986), 1–100.MathSciNetzbMATHGoogle Scholar
  17. [M]
    G. Mess, Centers of 3-manifold groups and groups which are coarse quasiisometric to planes, preprint.Google Scholar
  18. [T]
    B. Trace, Two comments concerning the uniqueness of prime factorizations for 3-manifolds, Bull. London Math. Soc. 19 (1987), 75–77.MathSciNetCrossRefzbMATHGoogle Scholar
  19. [T1]
    T. Tucker, Boundary-reducible 3-manifolds and Waldhausen's theorem, Mich. Math. J. 20 (1973), 321–327.zbMATHGoogle Scholar
  20. [W]
    F. Waldhausen, On irreducible 3-manifolds which are sufficiently large, Annals of Math. 87 (1968), 56–88.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Darryl McCullough
    • 1
  1. 1.University of OklahomaUSA

Personalised recommendations