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arXiv · 1601.00232

Homological stability for moduli spaces of high dimensional manifolds. II

Soren Galatius·Oscar Randal-Williams
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Abstract

We prove a homological stability theorem for moduli spaces of manifolds of dimension $2n$, for attaching handles of index at least $n$, after these manifolds have been stabilised by countably many copies of $S^n \times S^n$. Combined with previous work of the authors, we obtain an analogue of the Madsen--Weiss theorem for any simply-connected manifold of dimension $2n \geq 6$.

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Soren Galatius, Oscar Randal-Williams. 2017-02-08. Homological stability for moduli spaces of high dimensional manifolds. II. https://arxiv.org/abs/1601.00232

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