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 Sn×Sn. Combined with previous work of the authors, we obtain an analogue of the Madsen–Weiss theorem for any simply-connected manifold of dimension 2n≥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. https://geodesic-test.mathdoc.fr/articles/10.4007/annals.2017.186.1.4/

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