Calculating the Euler characteristic of the moduli space of curves
Abstract
The orbifold Euler characteristic of the moduli space M g;1 of genus g smoth curves with one marked point (g ≥ 1) was calculated by Harer and Zagier: χ(M g;1) = ζ(1 − 2g) = −B 2g /(2g), where ζ is the Riemann zeta function and B 2g is the (2g)th Bernoulli number. We want to make their proof shorter and more combinatorial.
Domains
Mathematics [math]| Origin | Files produced by the author(s) |
|---|---|
| Comment | Ce pdf est la version preprint de l'article (version soumise à l'éditeur, avant peer-reviewing) |
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