Homological stability of diffeomorphism groups

Alexander Berglund; Ib Henning Madsen

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

Homological stability of diffeomorphism groups

Authors:

Berglund, Alexander ;
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Department of Mathematical Sciences, Faculty of Science, Københavns Universitet
Madsen, Ib Henning
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Department of Mathematical Sciences, Faculty of Science, Københavns Universitet

DOI:

10.4310/PAMQ.2013.v9.n1.a1

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.

Type:

Journal article

Language:

English

Published in:

Pure and Applied Mathematics Quarterly, 2013, Vol 9, Issue 1, p. 1-48

Main Research Area:

Science/technology

Publication Status:

Published

Review type:

Peer Review

Submission year:

2013

Scientific Level:

Scientific

ID:

255675268

Homological stability of diffeomorphism groups

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