Cohomology of moduli spaces

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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.
ICM talk; 18 pages

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Algebraic Geometry, 14H10; 14H15; 32G15; 55R40; 57R20

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http://salesiana.dossiersoluciones.com/handle/123456789/67557

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305344
 http://arxiv.org/abs/math/0305344
 ICM 2002, Vol 1, 363-382

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arXiv