Normal surfaces in topologically finite 3-manifolds
| dc.creator | Tillmann, Stephan | |
| dc.date | 2004-06-14 | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:04:58Z | |
| dc.date.available | 2026-07-07T08:04:58Z | |
| dc.description | The concept of a normal surface in a triangulated, compact 3-manifold was generalised by Thurston to a spun-normal surface in a non-compact 3-manifold with ideal triangulation. This paper defines a boundary curve map which takes a spun-normal surface to an element of the direct sum of the first homology groups of the vertex linking surfaces. The boundary curve map is used to study the topology of a spun-normal surface as well as to determine the dimension of the projective solution space of the algebraic equations arising from the quadrilateral coordinates of spun-normal surfaces. | |
| dc.description | 48 pages, 16 figures; completely re-written | |
| dc.identifier | https://arxiv.org/abs/math/0406271 | |
| dc.identifier | http://arxiv.org/abs/math/0406271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130158 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57N10 | |
| dc.title | Normal surfaces in topologically finite 3-manifolds | |
| dc.type | text |