Crossratios, Surface Groups, SL(n,R) and C^{1}(S^1)\rtimes Diff (S^1)
| dc.creator | Labourie, F. | |
| dc.date | 2005-02-21 | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T06:18:08Z | |
| dc.date.available | 2026-07-07T06:18:08Z | |
| dc.description | We present results connecting crossratios, representations of surface groups in $SL(n,\mathbb R)$ and in an infinite dimensional group related to the group of diffeomorphisms of the circle. More precisely, we show that representations of a surface group in $SL(n,\mathbb R)$ can be interpreted as crossratios satisfying specific algebraic relations, and we explain that all these representations sit together in a space of representations with values in the infinite dimensional group $C^{1,h}(S^1)\rtimes Diff^{h}(S^1)$. | |
| dc.description | v2.1 : Theorem 1.3 has been improved. Unnecessary appendix have been removed. Relations between cross ratio and spectrum have been clarified | |
| dc.identifier | https://arxiv.org/abs/math/0502441 | |
| dc.identifier | http://arxiv.org/abs/math/0502441 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94635 | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.title | Crossratios, Surface Groups, SL(n,R) and C^{1}(S^1)\rtimes Diff (S^1) | |
| dc.type | text |