Geodesic ideal triangulations exist virtually
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- by Feng Luo, Saul Schleimer and Stephan Tillmann
- Proc. Amer. Math. Soc. 136 (2008), 2625-2630
- DOI: https://doi.org/10.1090/S0002-9939-08-09387-8
- Published electronically: March 10, 2008
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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.References
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Bibliographic Information
- Feng Luo
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
- MR Author ID: 251419
- Email: fluo@math.rutgers.edu
- Saul Schleimer
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
- MR Author ID: 689853
- Email: saulsch@math.rutgers.edu
- Stephan Tillmann
- Affiliation: Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia
- MR Author ID: 663011
- ORCID: 0000-0001-6731-0327
- Email: tillmann@ms.unimelb.edu.au
- Received by editor(s): April 9, 2007
- Published electronically: March 10, 2008
- Additional Notes: The research of the first author was supported in part by the NSF
The second author was partly supported by the NSF (DMS-0508971).
The third author was supported under the Australian Research Council’s Discovery funding scheme (project number DP0664276).
This work is in the public domain. - Communicated by: Daniel Ruberman
- Journal: Proc. Amer. Math. Soc. 136 (2008), 2625-2630
- MSC (2000): Primary 57N10, 57N15; Secondary 20H10, 22E40, 51M10
- DOI: https://doi.org/10.1090/S0002-9939-08-09387-8
- MathSciNet review: 2390535