Combinatorial 3-manifolds with 10 vertices

Details Combinatorial 3-manifolds with 10 vertices Combinatorial 3-manifolds with 10 vertices

2006-04-02

arxiv.org/abs/math/0604018v2

Mathematics

Combinatorics

9 pages, minor revisions, to appear in Beitr. Algebra Geom

Scientific paper

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 $S^2\times S^1$ 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.

Affiliated with

Also associated with

No associations

Rating

Combinatorial 3-manifolds with 10 vertices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Combinatorial 3-manifolds with 10 vertices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial 3-manifolds with 10 vertices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444164