Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedra

Details Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedra Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedra

2007-05-10

arxiv.org/abs/0705.1487v1

Journal of Knot Theory and its Ramifications 18 (3) (2009), 381-395

Mathematics

Geometric Topology

18 pages, 3 figures

Scientific paper

We present the census of all non-orientable, closed, connected 3-manifolds
admitting a rigid crystallization with at most 30 vertices. In order to obtain
the above result, we generate, manipulate and compare, by suitable computer
procedures, all rigid non-bipartite crystallizations up to 30 vertices.

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