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arXiv · 1203.6830

Homological stability for moduli spaces of high dimensional manifolds

Soren Galatius·Oscar Randal-Williams
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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.

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Soren Galatius, Oscar Randal-Williams. 2012-03-30. Homological stability for moduli spaces of high dimensional manifolds. https://arxiv.org/abs/1203.6830

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