Geodesic ideal triangulations exist virtually

Feng Luo; Saul Schleimer; Stephan Tillmann

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Geodesic ideal triangulations exist virtually

Feng Luo·Saul Schleimer·Stephan Tillmann

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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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Feng Luo, Saul Schleimer, Stephan Tillmann. 2007-01-16. Geodesic ideal triangulations exist virtually. https://arxiv.org/abs/math/0701431

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