Geodesic
Veering triangulations admit strict angle structures
Hodgson, Craig D1 ; Rubinstein, J Hyam1 ; Segerman, Henry1 ; Tillmann, Stephan2
1 Department of Mathematics and Statistics, The University of Melbourne, Melbourne Parkville VIC 3010, Australia
2 School of Mathematics and Physics, The University of Queensland, Brisbane QLD 4072, Australia
Geometry & topology, Tome 15 (2011) no. 4, pp. 2073-2089.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Agol recently introduced the concept of a veering taut triangulation of a 3–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.

DOI : 10.2140/gt.2011.15.2073
Classification : 57M50
Keywords: veering triangulation, angle structure, geometric structure, hyperbolic surface bundle

Hodgson, Craig D 1 ; Rubinstein, J Hyam 1 ; Segerman, Henry 1 ; Tillmann, Stephan 2

1 Department of Mathematics and Statistics, The University of Melbourne, Melbourne Parkville VIC 3010, Australia
2 School of Mathematics and Physics, The University of Queensland, Brisbane QLD 4072, Australia 
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Hodgson, Craig D; Rubinstein, J Hyam; Segerman, Henry; Tillmann, Stephan. Veering triangulations admit strict angle structures. Geometry & topology, Tome 15 (2011) no. 4, pp. 2073-2089. doi : 10.2140/gt.2011.15.2073. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.2073/

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