Comptes Rendus
no. 21-22
Differential topology
The displaced disks problem via symplectic topology
[Le problème des disques déplacés via la topologie symplectique]

Présenté par : Étienne Ghys

Sobhan Seyfaddini1
1 Département de mathématiques et applications de lʼÉcole normale supérieure, 45, rue dʼUlm, 75230 Paris cedex 05, France
Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 841-843.

Nous démontrons quʼune petite surface C0 préservant lʼhoméomorphisme dʼune surface fermée avec un flux de masse disparaissant ne peut pas déplacer un disque topologique de grande surface. Ceci résout le problème des disques déplacés posé par F. Béguin, S. Crovisier et F. Le Roux.

We prove that a C0-small area preserving the homeomorphism of a closed surface with vanishing mass flow cannot displace a topological disk of large area. This resolves the displaced disks problem posed by F. Béguin, S. Crovisier, and F. Le Roux.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.10.007
Sobhan Seyfaddini 1

1 Département de mathématiques et applications de lʼÉcole normale supérieure, 45, rue dʼUlm, 75230 Paris cedex 05, France 
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Sobhan Seyfaddini. The displaced disks problem via symplectic topology. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 841-843. doi : 10.1016/j.crma.2013.10.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.007/

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