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2019 On rational homological stability for block automorphisms of connected sums of products of spheres
Matthias Grey
Algebr. Geom. Topol. 19(7): 3359-3407 (2019). DOI: 10.2140/agt.2019.19.3359

Abstract

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.

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Matthias Grey. "On rational homological stability for block automorphisms of connected sums of products of spheres." Algebr. Geom. Topol. 19 (7) 3359 - 3407, 2019. https://doi.org/10.2140/agt.2019.19.3359

Information

Received: 12 January 2018; Revised: 13 January 2019; Accepted: 2 April 2019; Published: 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07162210
MathSciNet: MR4045356
Digital Object Identifier: 10.2140/agt.2019.19.3359

Subjects:
Primary: 55P62, 57S05

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 7 • 2019
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