%0 Journal Article %T The rational cohomology of \Mbar_4 %A Jonas Bergstr£¿m %A Orsola Tommasi %J Mathematics %D 2005 %I arXiv %R 10.1007/s00208-006-0073-z %X We present two approaches to the study of the cohomology of moduli spaces of curves. Together, they allow us to compute the rational cohomology of the moduli space \Mbar_4 of stable complex curves of genus 4, with its Hodge structure. %U http://arxiv.org/abs/math/0506502v2