Combinatorial 3-manifolds with 10 vertices

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

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Combinatorics, Geometric Topology, 57Q15; 57N10

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http://salesiana.dossiersoluciones.com/handle/123456789/129317

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604018
 http://arxiv.org/abs/math/0604018

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arXiv