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Geodesic ideal triangulations exist virtually

Geometric Topology 2007-05-23 v1

Abstract

It is shown that every non-compact hyperbolic manifold of finite volume has a finite cover admitting a geodesic ideal triangulation. Also, every hyperbolic manifold of finite volume with non-empty, totally geodesic boundary has a finite regular cover which has a geodesic partially truncated triangulation. The proofs use an extension of a result due to Long and Niblo concerning the separability of peripheral subgroups.

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Cite

@article{arxiv.math/0701431,
  title  = {Geodesic ideal triangulations exist virtually},
  author = {Feng Luo and Saul Schleimer and Stephan Tillmann},
  journal= {arXiv preprint arXiv:math/0701431},
  year   = {2007}
}

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7 pages