The rational cohomology of \Mbar_4
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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.
28 pages. Changes mainly of notational and expository nature. The published paper is available at http://www.springerlink.com
28 pages. Changes mainly of notational and expository nature. The published paper is available at http://www.springerlink.com