A la Fock-Goncharov coordinates for PU(2,1)
| dc.creator | Marche, Julien | |
| dc.creator | Will, Pierre | |
| dc.date | 2007-10-17 | |
| dc.date.accessioned | 2026-07-07T08:36:54Z | |
| dc.date.available | 2026-07-07T08:36:54Z | |
| dc.description | We describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface $S$ 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 $S$ and a subset of the PU(2,1)-representation variety of $π_1(S)$. | |
| dc.description | 23 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0710.3327 | |
| dc.identifier | http://arxiv.org/abs/0710.3327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140221 | |
| dc.subject | Differential Geometry | |
| dc.subject | 57S30; 51M10; 57M50 | |
| dc.title | A la Fock-Goncharov coordinates for PU(2,1) | |
| dc.type | text |