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arXiv · 0908.1853

On the rational cohomology of moduli spaces of curves with level structures

Gilberto Bini·Claudio Fontanari
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Abstract

We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine $H^k(\sgbar, \Q)$ for $g \ge 2$ and $k \le 3$, where $\sgbar$ denotes the moduli space of spin curves of genus $g$.

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Gilberto Bini, Claudio Fontanari. 2009-08-13. On the rational cohomology of moduli spaces of curves with level structures. https://arxiv.org/abs/0908.1853

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