The structure of spatial slices of 3-dimensional causal triangulations

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We consider causal 3-dimensional triangulations with the topology of S2×[0,1] or D2×[0,1] where S2 and D2 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
OriginalsprogEngelsk
TidsskriftAnnales de l’Institut Henri Poincaré D
Vol/bind7
Udgave nummer3
Sider (fra-til)365–393
ISSN2308-5827
DOI
StatusUdgivet - 2020

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