Geodesic ideal triangulations exist virtually

Luo, Feng; Schleimer, Saul; Tillmann, Stephan

doi:10.1090/S0002-9939-08-09387-8

Geodesic ideal triangulations exist virtually
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by Feng Luo, Saul Schleimer and Stephan Tillmann PDF

Proc. Amer. Math. Soc. 136 (2008), 2625-2630 Request permission

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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