We answer a question of Durham, Hagen, and Sisto, proving that a Teichmüller geodesic ray does not necessarily converge to a unique point in the hierarchically hyperbolic space boundary of Teichmüller space. In fact, we prove that the limit set can be almost anything allowed by the topology.
Cite this article
Sarah C. Mousley, Exotic limit sets of Teichmüller geodesics in the HHS boundary. Groups Geom. Dyn. 13 (2019), no. 3, pp. 1057–1081DOI 10.4171/GGD/514