Two-Dimensional Knots and Representations of Hyperbolic Groups
| dc.creator | Apanasov, Boris | |
| dc.date | 2001-02-26 | |
| dc.date.accessioned | 2026-07-07T04:40:22Z | |
| dc.date.available | 2026-07-07T04:40:22Z | |
| dc.description | We describe relations between hyperbolic geometry and codimension two knots or, more exactly, between varieties of conjugacy classes of discrete faithful representations of the fundamental groups of hyperbolic n-manifolds M into $\operatorname{SO}^{\circ} (n+2,1)$ and (n-1)-dimensional knots in the (n+1)-sphere. This approach allows us to discover a phenomenon of non-connectedness of these varieties for closed n-manifolds M, $n\geq 3$, with large enough number of disjoint totally geodesic surfaces, to construct quasisymmetric infinitely compounded "Julia" knots $K\subset S^{n+1}$ which are everywhere wild and have recurrent $π_1(M)$-action, and to study circle and 2-plane bundles (with geometric structures) over closed hyperbolic n-manifolds. | |
| dc.description | AMSppt TeX, 14 pages and 6 figures (in 4 jpeg files not inserted in TeX) | |
| dc.identifier | https://arxiv.org/abs/math/0102202 | |
| dc.identifier | http://arxiv.org/abs/math/0102202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61005 | |
| dc.subject | Geometric Topology | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05, 22E40, 57M30, 57M60 (Primary) 30C65, 55R10 (Secondary) | |
| dc.title | Two-Dimensional Knots and Representations of Hyperbolic Groups | |
| dc.type | text |