Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity
Representation Theory
2013-12-04 v2 Geometric Topology
Abstract
In this paper we are interested in computing representations of the fundamental group of a 3-manifold into PSL(3;C) (in particular in PSL(2;C); PSL(3;R) and PU(2; 1)). The representations are obtained by gluing decorated tetrahedra of flags. We list complete computations (giving 0-dimensional or 1-dimensional solution sets) for the first complete hyperbolic non-compact manifolds with finite volume which are obtained gluing less than three tetrahedra with a description of the computer methods used to find them.
Keywords
Cite
@article{arxiv.1307.6697,
title = {Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity},
author = {E. Falbel and P. -V. Koseleff and F. Rouillier},
journal= {arXiv preprint arXiv:1307.6697},
year = {2013}
}