Comptes Rendus
no. 8
Géométrie/Topologie
Homéomorphismes et nombre d'intersection
[Homeomorphisms and intersection numbers]

Presented by: Claire Voisin

Ken'ichi Ohshika1; Athanase Papadopoulos2
1 Department of Mathematics, Graduate School of Science, Osaka University Toyonaka, Osaka 560-0043, Japan
2 Institut de recherche mathématique avancée (Université de Strasbourg et CNRS), 7, rue René-Descartes, 67084 Strasbourg cedex, France
Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 899-902.

We prove two rigidity results for automorphism groups of the spaces ML(S) of measured laminations on a closed orientable hyperbolic surface S and PML(S) of projective measured laminations on this surface. The results concern the homeomorphisms of ML(S) that preserve the geometric intersection between laminations and the homeomorphisms of PML(S) that preserve the zero sets of these intersection functions.

On démontre deux résultats de rigidité pour des groupes d'automorphismes de l'espace ML(S) des laminations géodésiques mesurées d'une surface hyperbolique fermée orientable S et de l'espace PML(S) des laminations géodésiques mesurées projectives de S. Les résultats concernent les automorphismes de ML(S) préservant le nombre d'intersection géométrique entre laminations et les homéomorphismes de PML(S) préservant les ensembles de zéros de ces fonctions.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2018.06.009

Ken'ichi Ohshika 1; Athanase Papadopoulos 2

1 Department of Mathematics, Graduate School of Science, Osaka University Toyonaka, Osaka 560-0043, Japan
2 Institut de recherche mathématique avancée (Université de Strasbourg et CNRS), 7, rue René-Descartes, 67084 Strasbourg cedex, France 
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Ken'ichi Ohshika; Athanase Papadopoulos. Homéomorphismes et nombre d'intersection. Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 899-902. doi : 10.1016/j.crma.2018.06.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.06.009/

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