On the difficulty of finding spines

Cyril Lacoste

doi:10.1016/j.crma.2018.01.007

Group theory/Differential geometry

On the difficulty of finding spines

Presented by: the Editorial Board

Cyril Lacoste ¹

¹ IRMAR, Université de Rennes-1, 35000 Rennes, France

Comptes Rendus. Mathématique, Volume 356 (2018) no. 2, pp. 141-145.

Abstract
Résumé

We prove that the set of symplectic lattices in the Siegel space $h_{g}$ whose systoles generate a subspace of dimension at least 3 in $R^{2 g}$ does not contain any $Sp (2 g, Z)$ -equivariant deformation retract of $h_{g}$ .

Nous montrons que l'ensemble des réseaux symplectiques dans l'espace de Siegel $h_{g}$ dont les systoles engendrent un sous-espace de dimension au moins 3 dans $R^{2 g}$ ne contient aucun rétract par déformation $Sp (2 g, Z)$ -équivariant de $h_{g}$ .

Received: 2017-09-18
Accepted: 2018-01-16
Published online: 2018-02-01

DOI: 10.1016/j.crma.2018.01.007

Author's affiliations:

Cyril Lacoste ¹

¹ IRMAR, Université de Rennes-1, 35000 Rennes, France

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     author = {Cyril Lacoste},
     title = {On the difficulty of finding spines},
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     doi = {10.1016/j.crma.2018.01.007},
     language = {en},
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Cyril Lacoste. On the difficulty of finding spines. Comptes Rendus. Mathématique, Volume 356 (2018) no. 2, pp. 141-145. doi : 10.1016/j.crma.2018.01.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.01.007/

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