References
Abikoff, W.: The real analytic theory of Teichmüller space. Lect. Notes Math.820. Berlin-Heidelberg-New York: Springer 1980
Borel, A.: Cohomologie de sous-groupes discrets et représentations de groupes semisimples. Astérisque,32–33, 73–112 (1976)
Bowditch, B., Epstein, D.: (to appear)
Brown, K.: Cohomology of groups. Graduate texts in Mathematics 87. Berlin-Heidelberg-New York: Springer 1982
Brown, K.: Complete Euler characteristics and fixed-point theory. J. Pure Appl. Algebra24, 103–121 (1982)
Harder, G.: A Gauss-Bonnet formula for discrete arithmetically defined groups. Ann. Sci. ENS4, 409–455 (1971)
Harer, J.: Stability of the homology of the mapping class groups of orientable surfaces. Ann. Math.121, 215–249 (1985)
Harer, J.: The virtual cohomology dimension of the mapping class group of an orientable surface (to appear in Invent. Math.)
Miller, E.: The homology of the mapping class group and the moduli space (Preprint 1982)
Morita, S.: Characteristic classes of surface bundles I, (Preprint 1984)
Mosher, L.: Pseudo-Anosovs on punctural surfaces. Thesis, Princeton University 1983
Nielsen, J.: Abbildungsklassen endlicher Ordnung. Acta Math.75, 23–115 (1943)
Serre, J.-P.: Cohomologie des groupes discrets. Prospects in Mathematics70, 77–169 (1971)
Wall, C.T.C.: Rational Euler characteristics. Proc. Cambridge Phil. Soc.57, 182–3 (1961)
Zieschang, H.: Finite groups of mapping classes of surfaces. Lect. Notes Math.875, Berlin-Heidelberg-New York: Springer (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Harer, J., Zagier, D. The Euler characteristic of the moduli space of curves. Invent Math 85, 457–485 (1986). https://doi.org/10.1007/BF01390325
Issue Date:
DOI: https://doi.org/10.1007/BF01390325