English

Exotic limit sets of Teichm\"uller geodesics in the HHS boundary

Geometric Topology 2017-04-28 v1

Abstract

We answer a question of Durham, Hagen, and Sisto, proving that a Teichm\"uller geodesic ray does not necessarily converge to a unique point in the hierarchically hyperbolic space boundary of Teichm\"uller space. In fact, we prove that the limit set can be almost anything allowed by the topology.

Keywords

Cite

@article{arxiv.1704.08645,
  title  = {Exotic limit sets of Teichm\"uller geodesics in the HHS boundary},
  author = {Sarah C. Mousley},
  journal= {arXiv preprint arXiv:1704.08645},
  year   = {2017}
}

Comments

18 pages, 2 figures