Type: Article

Veech groups of infinite-genus surfaces

Maluendas, C. R; Valdez, F.;

Abstract:

We show that every countable subgroup G < GL+(2, ?) without contracting elements is the Veech group of a tame translation surface S of infinite genus for infinitely many different topological types of S. Moreover, we prove that as long as every end has genus, there are no restrictions on the topological type of S to realize all possible uncountable Veech groups