Type: Article

Veech groups, irrational billiards and stable abelian differentials

Ferrán Valdez;

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.