Symplectic and orthogonal <i>K</i>-groups of the integers

Schlichting, Marco

doi:10.1016/j.crma.2019.08.001

Topology

Symplectic and orthogonal K-groups of the integers
[K-groupes symplectiques et orthogonaux de l'anneau des entiers]

Présenté par : Claire Voisin

Schlichting, Marco ¹

¹ Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK

Comptes Rendus. Mathématique, Tome 357 (2019) no. 8, pp. 686-690.

Résumé
Abstract

Nous calculons explicitement les groupes d'homotopie des espaces topologiques $B Sp {(Z)}^{+}$ , $B O_{\infty, \infty} {(Z)}^{+}$ et $B O_{\infty} {(Z)}^{+}$ .

We explicitly compute the homotopy groups of the topological spaces $B Sp {(Z)}^{+}$ , $B O_{\infty, \infty} {(Z)}^{+}$ , and $B O_{\infty} {(Z)}^{+}$ .

Reçu le : 2019-06-08
Accepté le : 2019-08-05
Publié le : 2019-08-01

DOI : 10.1016/j.crma.2019.08.001

Affiliations des auteurs :

Schlichting, Marco ¹

¹ Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK

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Schlichting, Marco. Symplectic and orthogonal K-groups of the integers. Comptes Rendus. Mathématique, Tome 357 (2019) no. 8, pp. 686-690. doi : 10.1016/j.crma.2019.08.001. http://www.numdam.org/articles/10.1016/j.crma.2019.08.001/

Bibliographie
Cité par

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Cité par Sources :

^☆ This work was partially funded by the Leverhulme Trust.