# Triangulations of hyperbolic 3‐manifolds admitting strict angle structures

@article{Hodgson2011TriangulationsOH, title={Triangulations of hyperbolic 3‐manifolds admitting strict angle structures}, author={Craig Hodgson and J. Hyam Rubinstein and Henry Segerman}, journal={Journal of Topology}, year={2011}, volume={5} }

It is conjectured that every cusped hyperbolic 3‐manifold has a decomposition into positive volume ideal hyperbolic tetrahedra (a ‘geometric’ triangulation of the manifold). Under a mild homology assumption on the manifold, we construct topological ideal triangulations that admit a strict angle structure, which is a necessary condition for the triangulation to be geometric. In particular, every knot or link complement in the 3‐sphere has such a triangulation. We also give an example of a…

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