Angle structures and normal surfaces

Details Angle structures and normal surfaces Angle structures and normal surfaces

2005-10-25

arxiv.org/abs/math/0510537v2

Mathematics

Geometric Topology

17 pages, 3 figures, to appear in Trans. Amer. Math. Soc

Scientific paper

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.

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