Cohomology of convex cocompact groups and invariant distributions on limit sets
| dc.creator | Olbrich, Martin | |
| dc.date | 2002-07-31 | |
| dc.date.accessioned | 2026-07-07T04:49:57Z | |
| dc.date.available | 2026-07-07T04:49:57Z | |
| dc.description | This paper contains a thorough investigation of invariant distributions supported on limit sets of discrete groups acting convex cocompactly on symmetric spaces of negative curvature. It can be considered as a continuation of math.DG/9810146. Based on this investigation we provide proofs of the Hodge theoretic results for the cohomology of real hyperbolic manifolds announced in math.DG/0009038, improve the bounds for the critical exponents obtained by Corlette for the quaternionic and the Cayley case, compute the L^2-cohomology for the corresponding locally symmetric spaces, prove a version of the Harder-Borel conjecture for real hyperbolic manifolds, and compute higher cohomology groups with coefficients in hyperfunctions supported on the limit set. | |
| dc.description | 121 pages | |
| dc.identifier | https://arxiv.org/abs/math/0207301 | |
| dc.identifier | http://arxiv.org/abs/math/0207301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64625 | |
| dc.subject | Differential Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 58J; 22E40; 57R19 | |
| dc.title | Cohomology of convex cocompact groups and invariant distributions on limit sets | |
| dc.type | text |