Homological stability for moduli spaces of high dimensional manifolds
Abstract
We prove a homological stability theorem for the moduli spaces of manifolds diffeomorphic to g(Sn x Sn), provided n > 2. This generalises Harer's stability theorem for the homology of mapping class groups. Combined with previous work of the authors, it gives a calculation of the homology of these moduli spaces in a range of degrees.
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