Exotic limit sets of Teichmüller geodesics in the HHS boundary

Abstract

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.

arXiv comment18 pages, 2 figures