Let Mgn be the moduli space of n-pointed Riemann surfaces of genus g. Denote by Mgn the Deligne-Mumford compactification of Mgn. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of Mgn for any g and n such that n > 2-2g.
G. Bini, J. Harer (2011). Euler characteristics of moduli spaces of curves. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 13(2), 487-512 [10.4171/JEMS/259].
Euler characteristics of moduli spaces of curves
G. Bini;
2011-01-01
Abstract
Let Mgn be the moduli space of n-pointed Riemann surfaces of genus g. Denote by Mgn the Deligne-Mumford compactification of Mgn. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of Mgn for any g and n such that n > 2-2g.
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