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 triangular billiard surfaces, which we call the fingerprint of a point, that is preserved under balanced translation covers.
Citation
Jason Schmurr. "Translation covers among triangular billiard surfaces." Illinois J. Math. 58 (3) 665 - 687, Fall 2014. https://doi.org/10.1215/ijm/1441790383
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