Homological stability of diffeomorphism groups.

Alexander Berglund; Ib Henning Madsen

doi:10.4310/PAMQ.2013.v9.n1.a1

Homological stability of diffeomorphism groups.

Alexander Berglund, Ib Henning Madsen

Institut for Matematiske Fag

16 Citationer (Scopus)

Abstract

In this paper we prove a stability theorem for block diffeomorphisms of 2d -dimensional manifolds that are connected sums of S d ×S d . Combining this with a recent theorem of S. Galatius and O. Randal-Williams and Morlet’s lemma of disjunction, we determine the homology of the classifying space of their diffeomorphism groups relative to an embedded disk in a stable range.

Originalsprog	Engelsk
Tidsskrift	Pure and Applied Mathematics Quarterly
Vol/bind	9
Udgave nummer	1
Sider (fra-til)	1-48
ISSN	1558-8599
DOI	https://doi.org/10.4310/PAMQ.2013.v9.n1.a1
Status	Udgivet - 2013

Adgang til dokumentet

10.4310/PAMQ.2013.v9.n1.a1

Citationsformater

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AB - In this paper we prove a stability theorem for block diffeomorphisms of 2d -dimensional manifolds that are connected sums of S d ×S d . Combining this with a recent theorem of S. Galatius and O. Randal-Williams and Morlet’s lemma of disjunction, we determine the homology of the classifying space of their diffeomorphism groups relative to an embedded disk in a stable range.

U2 - 10.4310/PAMQ.2013.v9.n1.a1

DO - 10.4310/PAMQ.2013.v9.n1.a1

M3 - Journal article

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VL - 9

SP - 1

EP - 48

JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

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