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Cohomology of moduli spaces

Frances Kirwan
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Abstract

Some recent progress towards understanding the cohomology of moduli spaces of curves is described. Madsen and Weiss have given a proof of a generalisation of Mumford's conjecture on the stable cohomology of these moduli spaces M_g, and other contributors have made advances related to Faber's conjectures on the tautological ring of M_g.

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Frances Kirwan. 2003-05-24. Cohomology of moduli spaces. https://arxiv.org/abs/math/0305344

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