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Euler characteristics of moduli spaces of curves

Gilberto BiniJohn Harer — 2011

Journal of the European Mathematical Society

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

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