角结构和法向曲面
Angle structures and normal surfaces
摘要：
设M是具有非空边界的紧致三维流形的内部，T是M的理想（拓扑）三角剖分。本文利用（M; T）的法曲面理论解空间上的广义欧拉示性数函数，分别给出了（M; T）上角结构、半角结构和广义角结构存在的充要条件.这扩展了以前的工作康和鲁宾斯坦，本身是推广到一个更一般的设置为3维伪流形。
英文摘要：
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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