Geodesic
On rational homological stability for block automorphisms of connected sums of products of spheres
Grey, Matthias1
1 Matematiska institutionen, Stockholms universitet, Stockholm, Sweden
Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3359-3407

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show rational homological stability for the classifying spaces of the monoid of homotopy self-equivalences and the block diffeomorphism group of iterated connected sums of products of spheres. The spheres can have different dimensions, but need to satisfy a certain connectivity assumption. The main theorems of this paper extend homological stability results for automorphism spaces of connected sums of products of spheres of the same dimension by Berglund and Madsen.

DOI : 10.2140/agt.2019.19.3359
Classification : 55P62, 57S05
Keywords: manifolds, homotopy automorphisms, block diffeomorphisms, rational homology, homological stability

Grey, Matthias 1

1 Matematiska institutionen, Stockholms universitet, Stockholm, Sweden 
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Grey, Matthias. On rational homological stability for block automorphisms of connected sums of products of spheres. Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3359-3407. doi: 10.2140/agt.2019.19.3359

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