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Bibliographic Details
Main Author: Ospina, Carlos
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.07495
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Table of Contents:
  • We study the real Rel orbits of some translation surfaces in the stratum $\mathcal{H}(1,1)$. Specifically, surfaces that are tremors of the locus of branched double covers of tori. We give necessary and sufficient conditions on tremors of a surface so that the real Rel orbit is recurrent. As a consequence, we are able to provide explicit examples of trajectories of real Rel that are not recurrent.