Fundamental domains and generators for lattice Veech groups

  • Ronen E. Mukamel

    Rice University, Houston, USA

Abstract

The moduli space of non-zero genus quadratic differentials has a natural action of / . The Veech group PSL is the stabilizer of in . We describe a new algorithm for finding elements of PSL 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 / PSL is greater than zero.

Cite this article

Ronen E. Mukamel, Fundamental domains and generators for lattice Veech groups. Comment. Math. Helv. 92 (2017), no. 1, pp. 57–83

DOI 10.4171/CMH/406