Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces
| dc.creator | Palesi, Frederic | |
| dc.date | 2008-07-10 | |
| dc.date | 2009-01-27 | |
| dc.date.accessioned | 2026-07-07T12:34:14Z | |
| dc.date.available | 2026-07-07T12:34:14Z | |
| dc.description | The purpose of this paper is to study the action of the mapping class group on the moduli space of representations of the fundamental group of a non-orientable surface into SU(2). The action is shown to be ergodic with respect to a natural measure. This measure is defined using the push-forward measure associated to a map defined by the presentation of the surface group. given by the pushforward of Haar measure. This result is an extension of earlier results of Goldman for orientable surfaces. | |
| dc.description | 41 pages, 12 figures, third version. New section added | |
| dc.identifier | https://arxiv.org/abs/0807.1615 | |
| dc.identifier | http://arxiv.org/abs/0807.1615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217357 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M05 (Primary); 22D40, 20F34 (Secondary) | |
| dc.title | Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces | |
| dc.type | text |