Real reflections, commutators and cross-ratios in complex hyperbolic space
Geometric Topology
2013-12-12 v1
Abstract
We provide a concrete criterion to determine whether or not two given elements of PU(2,1) can be written as products of real reflections, with one reflection in common. As an application, we show that the Picard modular groups with are generated by real reflections up to index 1, 2, 4 or 8.
Keywords
Cite
@article{arxiv.1312.3173,
title = {Real reflections, commutators and cross-ratios in complex hyperbolic space},
author = {Julien Paupert and Pierre Will},
journal= {arXiv preprint arXiv:1312.3173},
year = {2013}
}
Comments
26 pages