Euler characteristics of moduli spaces of curves

  • Gilberto Bini

    Università degli Studi di Milano, Italy
  • John Harer

    Duke University, Durham, USA

Abstract

Let Mg__n be the moduli space of n-pointed Riemann surfaces of genus g. Denote by Mg__n the Deligne-Mumford compactification of Mg__n. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of Mg__n for any g and n such that n > 2-2_g_.

Cite this article

Gilberto Bini, John Harer, Euler characteristics of moduli spaces of curves. J. Eur. Math. Soc. 13 (2011), no. 2, pp. 487–512

DOI 10.4171/JEMS/259