Topological and geometric properties of graph-manifolds
| dc.creator | Buyalo, S. | |
| dc.creator | Svetlov, P. | |
| dc.date | 2003-09-11 | |
| dc.date.accessioned | 2026-07-07T05:01:02Z | |
| dc.date.available | 2026-07-07T05:01:02Z | |
| dc.description | This is an exposition of results on the existence problem of $π_1$-injective immersed and embedded surfaces in graph-manifolds, and also of nonpositively curved metrics on graph-manifolds, obtained by different authors. The results are represented from a unified point of view based on the notion of compatible cohomological classes and some difference equation on the graph of a graph-manifold (BKN-equation). Criteria for seven different properties of graph-manifolds at three levels are given: at the level of compatible cohomological classes; at the level of solutions to the BKN-equation; in terms of spectral properties of operator invariants of a graph-manifold. | |
| dc.description | 65 pages; a survey article. To appear in SPb Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0309192 | |
| dc.identifier | http://arxiv.org/abs/math/0309192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68538 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57M50, 57M10, 57N10, 57N35 | |
| dc.title | Topological and geometric properties of graph-manifolds | |
| dc.type | text |