Geodesic ideal triangulations exist virtually

Details Geodesic ideal triangulations exist virtually Geodesic ideal triangulations exist virtually

2007-01-16

arxiv.org/abs/math/0701431v1

Mathematics

Geometric Topology

7 pages

Scientific paper

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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