Fundamental domains and generators for lattice Veech groups
نویسنده
چکیده
The moduli space QMg of genus g quadratic differentials has a natural action of G = GL2 (R)/ 〈± ( 1 0 0 1 )〉 and the Veech group PSL(X, q) is the stabilizer of (X, q) ∈ QMg in G. We describe a new algorithm for finding elements of PSL(X, q) which, for lattice Veech groups, can be used to compute a fundamental domain and generators. Using our algorithm, we give the first explicit examples of generators and fundamental domains for non-arithmetic Veech groups where the genus of H/PSL(X, q) is greater than zero.
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