Continuous quotients for lattice actions on compact manifolds
| dc.creator | Fisher, David | |
| dc.creator | Whyte, Kevin | |
| dc.date | 2004-05-14 | |
| dc.date.accessioned | 2026-07-07T05:08:15Z | |
| dc.date.available | 2026-07-07T05:08:15Z | |
| dc.description | Let G be a subgroup of finite index in SL(n,Z) for N > 4. Suppose G acts continuously on a manifold M, with fundamental group Z^n, preserving a measure that is positive on open sets. Further assume that the induced G action on H^1(M) is non-trivial. We show there exists a finite index subgroup G' of G and a G' equivariant continuous map from M to the n-torus that induces an isomorphism on fundamental groups. We prove more general results providing continuous quotients in cases where the fundamental group of M surjects onto a finitely generated torsion free nilpotent group. We also give some new examples of manifolds with G actions to which the theorems apply. | |
| dc.identifier | https://arxiv.org/abs/math/0405273 | |
| dc.identifier | http://arxiv.org/abs/math/0405273 | |
| dc.identifier | Geometriae Dedicata 87, 2001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71190 | |
| dc.subject | Dynamical Systems | |
| dc.title | Continuous quotients for lattice actions on compact manifolds | |
| dc.type | text |