Homological stability for moduli spaces of high dimensional manifolds. I

We prove a homological stability theorem for moduli spaces of simply connected manifolds of dimension 2n > 4, with respect to forming connected sum with S^n \times S^n. This is analogous to Harer's stability theorem for the homology of mapping class groups. Combined with previous work of the...

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Veröffentlicht in:	Journal of the American Mathematical Society 2018-01, Vol.31 (1), p.215-264
Hauptverfasser:	Søren Galatius, Oscar Randal-Williams
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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