Expoential bounds on the number of causal triangulations
Mathematical Physics
2015-09-30 v1 Geometric Topology
math.MP
Abstract
We prove that the number of combinatorially distinct causal 3-dimensional triangulations homeomorphic to the 3-dimensional sphere is bounded by an exponential function of the number of tetrahedra. It is also proven that the number of combinatorially distinct causal 4-dimensional triangulations homeomorphic to the 4-sphere is bounded by an exponential function of the number of 4-simplices provided the number of all combinatorially distinct triangulations of the 3-sphere is bounded by an exponential function of the number of tetrahedra.
Keywords
Cite
@article{arxiv.1408.2101,
title = {Expoential bounds on the number of causal triangulations},
author = {Bergfinnur Durhuus and Thordur Jonsson},
journal= {arXiv preprint arXiv:1408.2101},
year = {2015}
}
Comments
30 pages, 9 figures