Bulletin (New Series) of the American Mathematical Society

Splittings of surfaces

Richard K. Skora

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. (N.S.), Volume 23, Number 1 (1990), 85-90.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183555719

Mathematical Reviews number (MathSciNet)
MR1031584

Zentralblatt MATH identifier
0708.30044

Subjects
Primary: 30F25: Ideal boundary theory
Secondary: 32G15: Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx] 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] 20F32

Citation

Skora, Richard K. Splittings of surfaces. Bull. Amer. Math. Soc. (N.S.) 23 (1990), no. 1, 85--90. https://projecteuclid.org/euclid.bams/1183555719


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References

  • [CM] M. Culler and J. W. Morgan, Group actions on R-trees, Proc. London Math. Soc. 55(1987), 571-604.
  • [GS] H. Gillet and P. B. Shalen, Dendrology of groups in low Q-ranks, J. Differential Geometry (to appear).
  • [Ha] A. Hatcher, Measured lamination spaces for surfaces from the topological viewpoint, Topology Appl. 30 (1988), 63-88.
  • [Mo] J. W. Morgan, Group actions on trees and the compactification of the spaces of classes of SO(n, 1)-representations, Topology 25 (1986), 1-34.
  • [MO] J. W. Morgan and J.-P. Otal, Relative growth rates of closed geodesics on a surface under varying hyperbolic structures, preprint.
  • [MS1] J. W. Morgan and P. B. Shalen, Degenerations of hyperbolic structures, I: Valuations, trees and surfaces, Ann. of Math. 120 (1984), 401-476.
  • [MS2] J. W. Morgan and P. B. Shalen, Surface groups acting on R-trees, preprint.
  • [PH] R.C. Penner and J. L. Harer, Combinatorics of train tracks, preprint.
  • [Se] J.-P. Serre, Trees, Springer-Verlag, New York, 1980.
  • [Sh] P. B. Shalen, Dendrology of groups: An introduction, in Essays in Group Theory (S. M. Gersten ed.), Mathematical Sciences Research Institute Publications, #8, Springer-Verlag, New York, 1987, pp. 265-319.
  • [Sk] R. K. Skora, Geometric actions of surface groups on Λ-trees, Comm. Math. (to appear).
  • [Th1] W. P. Thurston, Geometry and topology of 3-manifolds, preprint.
  • [Th2] W. P. Thurston, Hyperbolic structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle, preprint.