Veech groups, irrational billiards and stable abelian differentials

Ferran Valdez

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arXiv · 0905.1591

Veech groups, irrational billiards and stable abelian differentials

Ferran Valdez

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Abstract

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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Ferran Valdez. 2009-06-29. Veech groups, irrational billiards and stable abelian differentials. https://arxiv.org/abs/0905.1591

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