Rigid gems in dimension n
We extend to dimension $n \geq 3$ the concept of $ρ$-pair in a coloured graph and we prove the existence theorem for minimal rigid crystallizations of handle-free, closed $n$-manifolds.
math.GT↗
arXiv subjects
Paola Bandieri
Publications and source records attributed to Paola Bandieri.
A census of genus two 3-manifolds up to 42 coloured tetrahedra
We improve and extend to the non-orientable case a recent result of Karabas, Malicki and Nedela concerning the classification of all orientable prime 3-manifolds of Heegaard genus two, triangulated with at most 42 coloured tetrahedra.
math.GT↗
Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedra
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.
math.GT↗