12 citations · 36 across the 5 of their papers we have counts for
5 papers · 1 filter
Crystallizations of compact 4-manifolds minimizing combinatorially defined PL-invariants
Maria Rita Casali, Paola Cristofori, Carlo Gagliardi
The present paper is devoted to present a unifying survey about some special classes of crystallizations of compact PL -manifolds with empty or connected boundary, called {\it s…
PL 4-manifolds admitting simple crystallizations: framed links and regular genus
M. R. Casali, P. Cristofori, C. Gagliardi
Simple crystallizations are edge-coloured graphs representing PL 4-manifolds with the property that the 1-skeleton of the associated triangulation equals the 1-skeleton of a 4-simp…
Rigid gems in dimension n
Paola Bandieri, Carlo Gagliardi
We extend to dimension the concept of -pair in a coloured graph and we prove the existence theorem for minimal rigid crystallizations of handle-free, closed -manif…
A census of genus two 3-manifolds up to 42 coloured tetrahedra
Paola Bandieri, Paola Cristofori, Carlo Gagliardi
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…
Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedra
Paola Bandieri, Paola Cristofori, Carlo Gagliardi
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 gener…