A la Fock-Goncharov coordinates for PU(2,1)
Differential Geometry
2007-10-18 v1
Abstract
We describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface with negative Euler characteristic. The main technical tool we use is a set of geometric invariants of a triple of flags in the complex hyperpolic plane. We establish a bijection between a set of decorations of an ideal triangulation of and a subset of the PU(2,1)-representation variety of .
Cite
@article{arxiv.0710.3327,
title = {A la Fock-Goncharov coordinates for PU(2,1)},
author = {Julien Marche and Pierre Will},
journal= {arXiv preprint arXiv:0710.3327},
year = {2007}
}
Comments
23 pages, 2 figures