Incompressible solvable representations of surface groups
Geometric Topology
2017-07-25 v2
Abstract
The fundamental group of every surface that is not the projective plane or Klein bottle has a representation to a torsion-free group of upper-triangular matrices in SL(2,R) with no simple loop (i.e. a nontrivial element representing a simple closed curve) in the kernel.
Cite
@article{arxiv.1704.01007,
title = {Incompressible solvable representations of surface groups},
author = {Jason DeBlois and Daniel Gomez},
journal= {arXiv preprint arXiv:1704.01007},
year = {2017}
}
Comments
Minor revisions and corrections suggested by a referee. Accepted version