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R. Hain and E. Looijenga, Mapping class groups and moduli spaces of curves, Algebraic geometry--Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 97-142.

Mor05

S. Morita, Cohomological structure of the mapping class group and beyond, preprint, 2005.

RV04

M. Roth and R. Vakil, The affine stratification number and the moduli space of curves, Algebraic structures and moduli spaces, CRM Proc. Lecture Notes, vol. 38, Amer. Math. Soc., Providence, RI, 2004, pp. 213-227.