Skip to main content
Log in

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. W. J. Harvey, “Boundary structure of the modular group,” Ann. Math. Studies, No. 97, 245–251 (1981).

    Google Scholar 

  2. A. Borel and J.-P. Serre, “Corners and arithmetic groups,” Comment. Math. Helv.,48, 436–491 (1973).

    Google Scholar 

  3. N. V. Ivanov, “Complexes of curves and modular Teichmüller groups,” Usp. Mat. Nauk,42, No. 3, 49–91 (1987).

    Google Scholar 

  4. W. J. Harvey, “Modular groups and representation spaces,” in: Contemporary Mathematics, No. 74, Am. Math. Soc., Providence (1988), pp. 205–214.

    Google Scholar 

  5. J. L. Harer, “The virtual cohomological dimension of the mapping class group of an orientable surface,” Invent. Math.,84, No. 1, 157–176 (1986).

    Google Scholar 

  6. J.-P. Serre, “Arithmetic groups,” in: London Mathematic Society Lecture Notes, No. 36, Cambridge Univ. Press, Cambridge (1979), pp. 105–135.

    Google Scholar 

  7. W. Abikoff, The Real Analytic Theory of Teichmüller Space, Lect. Notes Math., Vol. 820, Springer-Verlag (1980).

  8. N. V. Ivanov, “Algebraic properties of mapping class groups of surfces,” Banach Center Publ.,18, 15–35 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 49, No. 5, pp. 54–61, May, 1991.

Thus, the verification of the promised properties of XS is finished.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivanov, N.V. Complexes of curves and Teichmüller spaces. Mathematical Notes of the Academy of Sciences of the USSR 49, 479–484 (1991). https://doi.org/10.1007/BF01142643

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01142643

Navigation