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Geodesic ideal triangulations exist virtually |
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| Authors: | Feng Luo Saul Schleimer Stephan Tillmann |
| Institution: | Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854 ; Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854 ; Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia |
| 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. |
| Keywords: | Hyperbolic manifold ideal triangulation partially truncated triangulation subgroup separability |
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