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

Abstract

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.

arXiv commentCa. 97 pages. For this version, many results have been reformulated and re-proved to be valid in all dimensions and with more general notions of orientation

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