Geodesic
Homological stability for moduli spaces of high dimensional manifolds. II
Søren Galatius1 ; Oscar Randal-Williams2
1 Stanford University, Stanford, CA
2 Centre for Mathematical Sciences, Wilberforce Road, Cambridge, United Kingdom
Annals of mathematics, Tome 186 (2017) no. 1, pp. 127-204.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 $2n \geq 6$.
DOI : 10.4007/annals.2017.186.1.4

Søren Galatius 1 ; Oscar Randal-Williams 2

1 Stanford University, Stanford, CA
2 Centre for Mathematical Sciences, Wilberforce Road, Cambridge, United Kingdom 
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Søren Galatius; Oscar Randal-Williams. Homological stability for moduli spaces of high dimensional manifolds. II. Annals of mathematics, Tome 186 (2017) no. 1, pp. 127-204. doi : 10.4007/annals.2017.186.1.4. http://geodesic.mathdoc.fr/articles/10.4007/annals.2017.186.1.4/

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