Open Access
Fall 2014 Translation covers among triangular billiard surfaces
Jason Schmurr
Illinois J. Math. 58(3): 665-687 (Fall 2014). DOI: 10.1215/ijm/1441790383

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

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Jason Schmurr. "Translation covers among triangular billiard surfaces." Illinois J. Math. 58 (3) 665 - 687, Fall 2014. https://doi.org/10.1215/ijm/1441790383

Information

Received: 12 July 2012; Revised: 30 May 2015; Published: Fall 2014
First available in Project Euclid: 9 September 2015

zbMATH: 1356.37056
MathSciNet: MR3395956
Digital Object Identifier: 10.1215/ijm/1441790383

Subjects:
Primary: 57M50
Secondary: 30F30 , 37D50

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

Vol.58 • No. 3 • Fall 2014
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