SURFACE GROUPS IN THE GROUP OF GERMS OF ANALYTIC DIFFEOMORPHISMS IN ONE VARIABLE

Serge Cantat (1) , Dominique Cerveau (1) , Vincent Guirardel (1) , Juan Souto (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We construct embeddings of surface groups into the group of germs of analytic diffeomorphisms in one variable.

Mots clés: Fundamental groups of surfaces; Germs of diffeomorphisms; Codimension one foliations

Domaines: Théorie des groupes [math.GR]; Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Serge Cantat, Dominique Cerveau, Vincent Guirardel, Juan Souto. SURFACE GROUPS IN THE GROUP OF GERMS OF ANALYTIC DIFFEOMORPHISMS IN ONE VARIABLE. L'Enseignement Mathématique , 2020, 66 (1-2), pp.93-134. ⟨10.4171/LEM/66-1/2-6⟩. ⟨hal-02271428⟩