Combinatorial 3-manifolds with 10 vertices
Combinatorics
2007-05-23 v2 Geometric Topology
Abstract
We give a complete enumeration of all combinatorial 3-manifolds with 10 vertices: There are precisely 247882 triangulated 3-spheres with 10 vertices as well as 518 vertex-minimal triangulations of the sphere product and 615 triangulations of the twisted sphere product S^2_\times_S^1. All the 3-spheres with up to 10 vertices are shellable, but there are 29 vertex-minimal non-shellable 3-balls with 9 vertices.
Keywords
Cite
@article{arxiv.math/0604018,
title = {Combinatorial 3-manifolds with 10 vertices},
author = {Frank H. Lutz},
journal= {arXiv preprint arXiv:math/0604018},
year = {2007}
}
Comments
9 pages, minor revisions, to appear in Beitr. Algebra Geom