Geodesic
The structure of spatial slices of 3-dimensional causal triangulations
Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 3, pp. 365-393.

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We consider causal 3-dimensional triangulations with the topology of S 2 ×[0,1] or D 2 ×[0,1] where S 2 and D 2 are the two-dimensional sphere and disc, respectively. These triangulations consist of slices and we show that these slices can be mapped bijectively onto a set of certain coloured 2-dimensional cell complexes satisfying simple conditions. The cell complexes arise as the cross section of the individual slices.

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DOI : 10.4171/aihpd/91
Classification : 05-XX, 60-XX
Keywords: 3-dimensional random triangulations, causal triangulations 
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Durhuus, Bergfinnur; Jonsson, Thordur. The structure of spatial slices of 3-dimensional causal triangulations. Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 3, pp. 365-393. doi : 10.4171/aihpd/91. http://geodesic.mathdoc.fr/articles/10.4171/aihpd/91/

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