Homological stability of diffeomorphism groups.

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Homological stability of diffeomorphism groups. / Berglund, Alexander; Madsen, Ib Henning.

I: Pure and Applied Mathematics Quarterly, Bind 9, Nr. 1, 2013, s. 1-48.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Berglund, A & Madsen, IH 2013, 'Homological stability of diffeomorphism groups.', Pure and Applied Mathematics Quarterly, bind 9, nr. 1, s. 1-48. https://doi.org/10.4310/PAMQ.2013.v9.n1.a1

APA

Berglund, A., & Madsen, I. H. (2013). Homological stability of diffeomorphism groups. Pure and Applied Mathematics Quarterly, 9(1), 1-48. https://doi.org/10.4310/PAMQ.2013.v9.n1.a1

Vancouver

Berglund A, Madsen IH. Homological stability of diffeomorphism groups. Pure and Applied Mathematics Quarterly. 2013;9(1):1-48. https://doi.org/10.4310/PAMQ.2013.v9.n1.a1

Author

Berglund, Alexander ; Madsen, Ib Henning. / Homological stability of diffeomorphism groups. I: Pure and Applied Mathematics Quarterly. 2013 ; Bind 9, Nr. 1. s. 1-48.

Bibtex

@article{3be42e57ecc44268805760f89008bd0f,
title = "Homological stability of diffeomorphism groups.",
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{\textquoteright}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.",
author = "Alexander Berglund and Madsen, {Ib Henning}",
year = "2013",
doi = "10.4310/PAMQ.2013.v9.n1.a1",
language = "English",
volume = "9",
pages = "1--48",
journal = "Pure and Applied Mathematics Quarterly",
issn = "1558-8599",
publisher = "International Press",
number = "1",

}

RIS

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