Homological stability of diffeomorphism groups.
Research output: Contribution to journal › Journal article › Research › peer-review
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Homological stability of diffeomorphism groups. / Berglund, Alexander; Madsen, Ib Henning.
In: Pure and Applied Mathematics Quarterly, Vol. 9, No. 1, 2013, p. 1-48.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Homological stability of diffeomorphism groups.
AU - Berglund, Alexander
AU - Madsen, Ib Henning
PY - 2013
Y1 - 2013
N2 - 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.
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
VL - 9
SP - 1
EP - 48
JO - Pure and Applied Mathematics Quarterly
JF - Pure and Applied Mathematics Quarterly
SN - 1558-8599
IS - 1
ER -
ID: 117368544