论文信息 - An enumeration of combinatorial 3-manifolds with nine vertices

An enumeration of combinatorial 3-manifolds with nine vertices

Abstract A complete classification is given for non-neighborly combinatorial 3-manifolds with nine vertices. It is found that there are 1246 such types, and that they all are spheres. It is shown that 1057 of those spheres are polytopal. i.e. can be realized as boundary complexes of convex 4-polytopes. 115 spheres are non-polytopal, and 74 spheres remain undecided.

Amos Altshuler | Leon Steinberg

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