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arXiv · 0810.3353

Translation Covers Among Triangular Billiard Surfaces

Jason Schmurr
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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.

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Jason Schmurr. 2008-10-18. Translation Covers Among Triangular Billiard Surfaces. https://arxiv.org/abs/0810.3353

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