Translation covers of triangular billiards surfaces

Details Translation covers of triangular billiards surfaces Translation covers of triangular billiards surfaces

2008-10-18

arxiv.org/abs/0810.3353v1

Mathematics

General Topology

24 pages, 4 figures

Scientific paper

We identify all translation covers among triangular billiards surfaces. Our
main tools are the J-invariant of Kenyon and Smillie and a property of
triangular billiards surfaces, which we call fingerprint type, that is
invariant under balanced translation covers.

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