SL 2 (R)-DYNAMICS ON THE MODULI SPACE OF ONE-HOLED DILATION TORI

Adrien Boulanger (1) , Selim Ghazouani (2)

1 I2M - Institut de Mathématiques de Marseille
2 Imperial College London

We study the SL 2 (R)-action on the moduli space of (triangulable) dilation tori with one boundary component. We prove that every orbit is either closed or dense, and that every orbit of the Teichmüller flow escapes to infinity.

Domaines: Mathématiques [math]

Adrien Boulanger, Selim Ghazouani. SL 2 (R)-DYNAMICS ON THE MODULI SPACE OF ONE-HOLED DILATION TORI. 2022. ⟨hal-03571823⟩