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Veering triangulations
admit strict angle structures
Craig D Hodgson, J Hyam Rubinstein, Henry Segerman and Stephan Tillmann |
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Geometry & Topology 15 (2011) 2073–2089
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Abstract |
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Agol recently introduced the concept of a veering taut triangulation of a –manifold, which is a taut ideal triangulation with some extra combinatorial structure. We define the weaker notion of a “veering triangulation” and use it to show that all veering triangulations admit strict angle structures. We also answer a question of Agol, giving an example of a veering taut triangulation that is not layered. |
Keywords
veering triangulation, angle structure, geometric
structure, hyperbolic surface bundle
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Mathematical Subject Classification 2010
Primary: 57M50
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References |
Publication
Received: 30 November 2010
Revised: 17 June 2011
Accepted: 19 September 2011
Published: 23 October 2011
Proposed: David Gabai
Seconded: Joan Birman, Colin Rourke
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Authors |
| Craig D Hodgson | |
| Department of Mathematics and
Statistics The University of Melbourne Melbourne Parkville VIC 3010 Australia |
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| http://www.ms.unimelb.edu.au/~cdh/ | |
| J Hyam Rubinstein | |
| Department of Mathematics and
Statistics The University of Melbourne Melbourne Parkville VIC 3010 Australia |
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| http://www.ms.unimelb.edu.au/~rubin/ | |
| Henry Segerman | |
| Department of Mathematics and
Statistics The University of Melbourne Melbourne Parkville VIC 3010 Australia |
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| http://www.ms.unimelb.edu.au/~segerman/ | |
| Stephan Tillmann | |
| School of Mathematics and
Physics The University of Queensland Brisbane QLD 4072 Australia |
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| http://www.maths.uq.edu.au/~tillmann/ | |
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