Translation Covers Among Triangular Billiard Surfaces
General Topology
2015-06-02 v2 Dynamical Systems
Abstract
We identify all translation covers among triangular billiard surfaces. Our main tools are the holonomy field of Kenyon and Smillie and a geometric property of translation surfaces, which we call the fingerprint of a point, that is preserved under balanced translation covers.
Cite
@article{arxiv.0810.3353,
title = {Translation Covers Among Triangular Billiard Surfaces},
author = {Jason Schmurr},
journal= {arXiv preprint arXiv:0810.3353},
year = {2015}
}
Comments
To appear in the Illinois Journal of Mathematics. 23 pages, 5 figures