Spheres are rare
Mathematical Physics
2015-06-15 v1 High Energy Physics - Theory
math.MP
Abstract
We prove that triangulations of homology spheres in any dimension grow much slower than general triangulations. Our bound states in particular that the number of triangulations of homology spheres in 3 dimensions grows at most like the power 1/3 of the number of general triangulations.
Cite
@article{arxiv.1303.7371,
title = {Spheres are rare},
author = {Vincent Rivasseau},
journal= {arXiv preprint arXiv:1303.7371},
year = {2015}
}
Comments
14 pages, 1 figure