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

Abstract

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.

18 pages, 3 figures

References in corpus (1)

• Enumeration of non-orientable 3-manifolds using face pairing graphs and union-find

Cited by in corpus (2)

• Topology in colored tensor models via crystallization theory
• PL 4-manifolds admitting simple crystallizations: framed links and regular genus