Surface Groups of Diffeomorphisms of the Interval

Ludovic Marquis (1) , Juan Souto (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We prove that the group of diffeomorphisms of the interval $[0,1]$ contains surface groups whose action on $(0,1)$ has no global fix point, is topologically transitive, and such that only countably many points of the interval $(0,1)$ have non-trivial stabiliser.

Domaines: Topologie géométrique [math.GT]

Ludovic Marquis, Juan Souto. Surface Groups of Diffeomorphisms of the Interval. 2017. ⟨hal-01450864v2⟩