Search results for "Teichmuller modular group"

On the Rational Cohomology of Moduli Spaces of Curves with Level Structures

2009

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 $g$.