Geodesic ideal triangulations exist virtually

Luo, Feng, Schleimer, Saul and Tillmann, Stephan (2008) Geodesic ideal triangulations exist virtually. Proceedings of the American Mathematical Society, 136 7: 2625-2630. doi:10.1090/S0002-9939-08-09387-8

Author Luo, Feng
Schleimer, Saul
Tillmann, Stephan
Title Geodesic ideal triangulations exist virtually
Journal name Proceedings of the American Mathematical Society   Check publisher's open access policy
ISSN 1088-6826
Publication date 2008-07
Sub-type Article (original research)
DOI 10.1090/S0002-9939-08-09387-8
Volume 136
Issue 7
Start page 2625
End page 2630
Total pages 6
Place of publication Providence, RI, United States
Publisher American Mathematical Society
Language eng
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.
Keyword Hyperbolic manifold
Ideal triangulation
Partially truncated triangulation
Subgroup separability
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Created: Thu, 01 Dec 2011, 14:27:54 EST by Dr Benjamin Burton on behalf of School of Mathematics & Physics