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(S^n x S^n), 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.

17 pages; minor revisions in v2

Cited by in corpus (14)

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