Combinatorial 3-manifolds with 10 vertices

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dc.creatorLutz, Frank H.
dc.date2006-04-02
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:44Z
dc.date.available2026-07-07T08:02:44Z
dc.descriptionWe 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.
dc.description9 pages, minor revisions, to appear in Beitr. Algebra Geom
dc.identifierhttps://arxiv.org/abs/math/0604018
dc.identifierhttp://arxiv.org/abs/math/0604018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129317
dc.subjectCombinatorics
dc.subjectGeometric Topology
dc.subject57Q15; 57N10
dc.titleCombinatorial 3-manifolds with 10 vertices
dc.typetext

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