The stable moduli space of Riemann surfaces: Mumford's conjecture

Details The stable moduli space of Riemann surfaces: Mumford's conjecture The stable moduli space of Riemann surfaces: Mumford's conjecture

2002-12-23

arxiv.org/abs/math/0212321v3

Mathematics

Algebraic Topology

Ca. 97 pages. For this version, many results have been reformulated and re-proved to be valid in all dimensions and with more

Scientific paper

The main result of this paper amounts to a complete evaluation of the
integral cohomological structure of the stable mapping class group. In
particular it verifies the conjecture of D.Mumford about the rational
cohomology of the stable mapping class group.

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