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arxiv: math/0212321 · v3 · submitted 2002-12-23 · 🧮 math.AT · math.AG

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

Ib Madsen , Michael S. Weiss
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classification 🧮 math.AT math.AG
keywords stableclassconjecturegroupmappingmumfordamountscohomological
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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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    math.GT 2026-04 unverdicted novelty 2.0

    An exposition of the calculation of the second rational cohomology group of the Torelli group using the Johnson homomorphism and two key prior results.