Surface groups are frequently faithful
Geometric Topology
2007-05-23 v1 Differential Geometry
Abstract
We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL(2,K) representation variety, where K is the field of real or complex numbers, answering a question of W. Goldman. We also prove the existence of faithful representations into PU(2,1) with certain nonintegral Toledo invariants.
Cite
@article{arxiv.math/0411270,
title = {Surface groups are frequently faithful},
author = {Jason DeBlois and Richard P. Kent},
journal= {arXiv preprint arXiv:math/0411270},
year = {2007}
}
Comments
10 pages, 1 figure