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Mod p homology of the stable mapping class group
Authors:Søren Galatius
Institution:Department of Mathematical Sciences, University of Aarhus, Aarhus 8000, Denmark
Abstract:We calculate the homology View the MathML source of the mapping class group Γg,n in the stable range. The calculation is based on Madsen and Weiss’ proof of the “Generalised Mumford Conjecture”: Γg,n has the same homology as a component of the space View the MathML source in the stable range.
Keywords:Mapping class groups  Moduli spaces  Thom spectra  Homology of infinite loop spaces
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