Surface subgroups for lattices in Fuchsian buildings
Group Theory
2014-09-04 v2
Abstract
We consider finite 2-dimensional polyhedral complexes, equipped with piecewise non-positively curved, locally CAT(0) metrics. We give conditions on the complex X that ensure that its fundamental group contains a surface subgroup. Concrete examples covered by our methods include compact quotients of sufficiently thick Fuchsian buildings, where the lattice acts freely and the quotient has at least two vertices.
Cite
@article{arxiv.1407.3958,
title = {Surface subgroups for lattices in Fuchsian buildings},
author = {David Constantine and Jean-Francois Lafont and Izhar Oppenheim},
journal= {arXiv preprint arXiv:1407.3958},
year = {2014}
}
Comments
This paper has been withdrawn by the authors due to an error in the proof of Fact 3