Veech groups, irrational billiards and stable abelian differentials

Details Veech groups, irrational billiards and stable abelian differentials Veech groups, irrational billiards and stable abelian differentials

2009-05-11

arxiv.org/abs/0905.1591v2

Mathematics

Dynamical Systems

8 pages, 2 figures

Scientific paper

We describe Veech groups of flat surfaces arising from irrational angled
polygonal billiards or irreducible stable abelian differentials. For irrational
polygonal billiards, we prove that these groups are non-discrete subgroups of
SO(2,R) and we calculate their rank.

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