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.
G. Bini, C. Fontanari (2012). On the Rational Cohomology of Moduli Spaces of Curves with Level Structures. GEOMETRIAE DEDICATA, 156(1), 127-139 [10.1007/s10711-011-9593-0].
On the Rational Cohomology of Moduli Spaces of Curves with Level Structures
G. Bini;
2012-01-01
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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