Bijections of geodesic lamination space preserving left Hausdorff convergence

Ken'Ichi Ohshika (1) , Athanase Papadopoulos (2)

1 Department of Mathematics, Osaka University
2 IRMA - Institut de Recherche Mathématique Avancée

We prove a rigidity result for the action of the mapping class group on the space of geodesic laminations of a closed hyperbolic surface of genus g ≥ 2 equipped with the left Hausdorff topology.

Mots clés: geodesic lamination; geodesic lamination space; mapping class group; rigidity; Thurston theory

Domaines: Topologie géométrique [math.GT]; Géométrie métrique [math.MG]

Ken'Ichi Ohshika, Athanase Papadopoulos. Bijections of geodesic lamination space preserving left Hausdorff convergence. 2018. ⟨hal-01782032v1⟩