Corpus ID: 221173113

Oblivious points on translation surfaces

@inproceedings{Adelstein2020ObliviousPO,
  title={Oblivious points on translation surfaces},
  author={Ian M. Adelstein and Krish Desai and Anthony L. Ji and Grace Zdeblick},
  year={2020}
}
  • Ian M. Adelstein, Krish Desai, +1 author Grace Zdeblick
  • Published 2020
  • Mathematics
  • An oblivious point on a translation surface is a point with no closed geodesic passing through it. Nguyen, Pan, and Su [1] showed that there are at most finitely many oblivious points on any given translation surface and constructed a family of surfaces with exactly one oblivious point. We construct new families of translation surfaces with arbitrarily many oblivious points and prove that there is a translation surface in every genus ≥ 3 with an oblivious point. 

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