Angle structures and normal surfaces
| dc.creator | Luo, Feng | |
| dc.creator | Tillmann, Stephan | |
| dc.date | 2005-10-25 | |
| dc.date | 2006-06-05 | |
| dc.date.accessioned | 2026-07-07T06:47:53Z | |
| dc.date.available | 2026-07-07T06:47:53Z | |
| dc.description | Let M be the interior of a compact 3-manifold with non-empty boundary, and T be an ideal (topological) triangulation of M. This paper describes necessary and sufficient conditions for the existence of angle structures, semi-angle structures and generalised angle structures on (M; T) respectively in terms of a generalised Euler characteristic function on the solution space of normal surface theory of (M; T). This extends previous work of Kang and Rubinstein, and is itself generalised to a more general setting for 3-dimensional pseudo-manifolds. | |
| dc.description | 17 pages, 3 figures, to appear in Trans. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0510537 | |
| dc.identifier | http://arxiv.org/abs/math/0510537 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103805 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57N10 | |
| dc.title | Angle structures and normal surfaces | |
| dc.type | text |