Cohomology of moduli spaces

Details Cohomology of moduli spaces Cohomology of moduli spaces

2003-05-24

arxiv.org/abs/math/0305344v1

ICM 2002, Vol 1, 363-382

Mathematics

Algebraic Geometry

ICM talk; 18 pages

Scientific paper

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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