Skip to main content
SpringerLink
Log in

Roots of the canonical bundle of the universal Teichmüller curve and certain subgroups of the mapping class group

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Auslander, L., Green, L., Hahn, F.: Flows on homogeneous spaces. Ann. Math. Studies, No. 53, Princeton: Princeton University Press 1963

    Google Scholar 

  2. Bers, L.: Fiber spaces over Teichmüller spaces. Acta Math.130, 89–126 (1973)

    Google Scholar 

  3. Bers, L.: Uniformization, moduli, and Kleinian groups. Bull. London Math. Soc.4, 257–300 (1972)

    Google Scholar 

  4. Earle, C.J.: Families of Riemann surfaces and Jacobi varieties. Ann. Math.107, 255–286 (1978)

    Google Scholar 

  5. Earle, C.J.: Roots of the canonical divisor class over Teichmüller space (preprint)

  6. Earle, C.J.: Teichmüller theory. In: Discrete groups and automorphic functions. Harvey, W.J., ed. pp. 143–161. London: Academic Press 1977

    Google Scholar 

  7. Ehresmann, C.: Les connexions infinitesimals dans un espace fibre differentiable. Colloque de Topologie, Bruxelles, pp. 29–55 (1950)

  8. Griffiths, P., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978

    Google Scholar 

  9. Gunning, R.: Riemann surfaces and generalized theta functions. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  10. Keen, L.: On Fricke moduli. In: Advances in the theory of Riemann surfaces. Ahlfors, L. et al, eds. Ann. Math. Studies, No. 66, pp. 205–224. Princeton: Princeton University Press 1971

    Google Scholar 

  11. Lickorish, W.B.R.: A finite set of generators for the homeotopy group of a 2-manifold. Proc. Camb. Phil. Soc.62, 769–778 (1964)

    Google Scholar 

  12. Lickorish, W.B.R.: Corrigendum: a finite set of generators for the homeotopy group of a 2-manifold. Proc. Camb. Phil. Soc.62, 679–681 (1966)

    Google Scholar 

  13. Macbeath, A.M.: Topological background. In: Discrete groups and automorphic functions. Harvey, W.J., ed. pp. 1–46. London: Academic Press 1977

    Google Scholar 

  14. Mennicke, Jens L.: Zur Theorie der Siegelschen Modulgruppe. Math. Ann.159, 115–129 (1965)

    Google Scholar 

  15. Munkres, J.: Topology. Englewood Cliffs: Prentice Hall 1975

    Google Scholar 

  16. Mumford, D.: Abelian quotients of the Teichmüller modular group. J. Analyse Math.18, 227–244 (1967)

    Google Scholar 

  17. Siegel, C.L.: Topics in complex function theory, Vol. II. New York: Wiley 1971

    Google Scholar 

  18. Sipe, P.L.: Roots of the canonical bundle of the universal Teichmüller curve. Thesis, Cornell University, 1979

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA

    Patricia L. Sipe

Authors
  1. Patricia L. Sipe
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sipe, P.L. Roots of the canonical bundle of the universal Teichmüller curve and certain subgroups of the mapping class group. Math. Ann. 260, 67–92 (1982). https://doi.org/10.1007/BF01475756

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01475756

Keywords

Search

Navigation