Oblivious points on translation surfaces
Geometric Topology
2022-01-11 v2 Differential Geometry
Abstract
An oblivious point on a translation surface is a point with no closed geodesic passing through it. Nguyen, Pan, and Su (2017) 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 with an oblivious point.
Cite
@article{arxiv.2008.08494,
title = {Oblivious points on translation surfaces},
author = {Ian Adelstein and Krish Desai and Anthony Ji and Grace Zdeblick},
journal= {arXiv preprint arXiv:2008.08494},
year = {2022}
}
Comments
This version has been revised for publication