Non-arithmetic lattices and the Klein quartic
Algebraic Geometry
2017-01-24 v4 Differential Geometry
Geometric Topology
Abstract
We give an algebro-geometric construction of some of the non-arithmetic ball quotients constructed by the author, Parker and Paupert. The new construction reveals a relationship between the corresponding orbifold fundamental groups and the automorphism group of the Klein quartic, and also with groups constructed by Barthel-Hirzebruch-H\"ofer and Couwenberg-Heckman-Looijenga.
Cite
@article{arxiv.1605.03846,
title = {Non-arithmetic lattices and the Klein quartic},
author = {Martin Deraux},
journal= {arXiv preprint arXiv:1605.03846},
year = {2017}
}