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On rational homological stability for block automorphisms of connected sums of products of spheres. (English) Zbl 1432.55024

This paper is concerned with the problem of understanding the rational homological structure of automorphism spaces of manifolds, similar in spirit to the highly connected even dimensional case considered by A. Berglund and I. Madsen [Pure Appl. Math. Q. 9, No. 1, 1–48 (2013; Zbl 1295.57038)]. The main theorems of this paper are homological stability results for the homotopy automorphisms and the block diffeomorphisms of connected sums of products of spheres.

MSC:

55P62 Rational homotopy theory
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms

Citations:

Zbl 1295.57038
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References:

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